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class="form-control multi-line-field multi-line-selectpicker" name="ml-0-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> 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name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span>&nbsp;<a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a> </li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid"> <input type="hidden" id="multi-line-ml" name="ml" value="3"> <div id="multi-line-row-wrapper"> <div class="row ml-1"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-1-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="rj:313 cc:13" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span>&nbsp;</span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>&nbsp;&nbsp;</span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>&nbsp;&nbsp;</span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>&nbsp;&nbsp;</span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>&nbsp;&nbsp;</span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>&nbsp;&nbsp;</span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>&nbsp;&nbsp;</span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>&nbsp;&nbsp;</span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>&nbsp;&nbsp;</span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>&nbsp;&nbsp;</span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>&nbsp;&nbsp;</span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>&nbsp;&nbsp;</span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>&nbsp;&nbsp;</span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>&nbsp;&nbsp;</span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>&nbsp;&nbsp;</span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>&nbsp;&nbsp;</span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a&nbsp;<span class="item">&</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical and (default)</a></li> <li><a href="#"><span class="token">a&nbsp;<span class="item">|</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>&nbsp;&nbsp;</span><span>&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab&nbsp;c<span class="item">"</span></span><span>&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab&nbsp;c<span class="item">)</span></span><span>&nbsp;</span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Topological+group%22">"Topological group"</a></span> <span class="search-explanation" role="cell"><strong>Phrases</strong> (multi-words) should be set in <u>"</u>straight quotation marks<u>"</u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki &amp; ti: Algebra</a></span> <span class="search-explanation" role="cell">Search for <strong><u>au</u>thor</strong> and <strong><u>ti</u>tle</strong>. 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Algebra Appl.</a> <a href="/?q=in%3A521888" title="Articles in this Issue">23, No. 14, Article ID 2550004, 23 p. (2024)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13A30" title="Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics">13A30</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07960573" data-ciurl="/ci/07960573" data-biburl="/bibtex/07960573.bib" data-amsurl="/amsrefs/07960573.bib" data-xmlurl="/xml/07960573.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07960573.pdf" title="Zbl 07960573 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0219498825500045" aria-label="DOI for “Equations of the multi-Rees algebra of fattened coordinate subspaces”" title="10.1142/S0219498825500045">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2308.01668"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7902816" value="7902816" aria-label="mark item Zbl 1545.60125"></div> <div class="author"><a href="/authors/clausel.marianne" title="Author Profile">Clausel, Marianne</a>; <a href="/authors/diehl.joscha" title="Author Profile">Diehl, Joscha</a>; <a href="/authors/mignot.raphael" title="Author Profile">Mignot, Raphael</a>; <a href="/authors/schmitz.leonard" title="Author Profile">Schmitz, Leonard</a>; <a href="/authors/sugiura.nozomi" title="Author Profile">Sugiura, Nozomi</a>; <a href="/authors/usevich.konstantin" title="Author Profile">Usevich, Konstantin</a></div> <h3 class="title"> <a href="/1545.60125"><strong>The barycenter in free nilpotent Lie groups and its application to iterated-integrals signatures.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1545.60125">Zbl 1545.60125</a> </h3> <div class="source"> <a href="/serials/8935" title="Journal Profile">SIAM J. 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Algebra Geom.</a> <a href="/?q=in%3A516476" title="Articles in this Issue">8, No. 3, 519-552 (2024)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A60L10" title="Signatures and data streams">60L10</a> <a class="mono" href="/classification/?q=cc%3A22E25" title="Nilpotent and solvable Lie groups">22E25</a> <a class="mono" href="/classification/?q=cc%3A60J65" title="Brownian motion">60J65</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A15A69" title="Multilinear algebra, tensor calculus">15A69</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1545.60125" data-ciurl="/ci/07902816" data-biburl="/bibtex/07902816.bib" data-amsurl="/amsrefs/07902816.bib" data-xmlurl="/xml/07902816.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07902816.pdf" title="Zbl 1545.60125 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/23M159024X" aria-label="DOI for “The barycenter in free nilpotent Lie groups and its application to iterated-integrals signatures”" title="10.1137/23M159024X">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2305.18996"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7898682" value="7898682" aria-label="mark item Zbl 1546.13001"></div> <div class="author"><a href="/authors/burr.michael-a" title="Author Profile">Burr, Michael</a>; <a href="/authors/clarke.oliver" title="Author Profile">Clarke, Oliver</a>; <a href="/authors/duff.timothy" title="Author Profile">Duff, Timothy</a>; <a href="/authors/leaman.jackson" title="Author Profile">Leaman, Jackson</a>; <a href="/authors/nichols.nathan" title="Author Profile">Nichols, Nathan</a>; <a href="/authors/walker.elise" title="Author Profile">Walker, Elise</a></div> <h3 class="title"> <a href="/1546.13001"><strong><span class="zbmathjax-texttt">SubalgebraBases</span> in Macaulay2.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1546.13001">Zbl 1546.13001</a> </h3> <div class="source"> <a href="/serials/7458" title="Journal Profile">J. Softw. Algebra Geom.</a> <a href="/?q=in%3A514923" title="Articles in this Issue">14, 97-109 (2024)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-04" title="Software, source code, etc. for problems pertaining to commutative algebra">13-04</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A68W30" title="Symbolic computation and algebraic computation">68W30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1546.13001" data-ciurl="/ci/07898682" data-biburl="/bibtex/07898682.bib" data-amsurl="/amsrefs/07898682.bib" data-xmlurl="/xml/07898682.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07898682.pdf" title="Zbl 1546.13001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2140/jsag.2024.14.97" aria-label="DOI for “\texttt{SubalgebraBases} in Macaulay2”" title="10.2140/jsag.2024.14.97">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.12473"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7808742" value="7808742" aria-label="mark item Zbl 1548.13031"></div> <div class="author"><a href="/authors/deng.jiahe" title="Author Profile">Deng, Jiahe</a>; <a href="/authors/kretschmer.andreas" title="Author Profile">Kretschmer, Andreas</a></div> <h3 class="title"> <a href="/1548.13031"><strong>Ideals of submaximal minors of sparse symmetric matrices.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1548.13031">Zbl 1548.13031</a> </h3> <div class="source"> <a href="/serials/518" title="Journal Profile">J. Pure Appl. Algebra</a> <a href="/?q=in%3A509080" title="Articles in this Issue">228, No. 6, Article ID 107595, 16 p. (2024)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13C40" title="Linkage, complete intersections and determinantal ideals">13C40</a> <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14N10" title="Enumerative problems (combinatorial problems) in algebraic geometry">14N10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.13031" data-ciurl="/ci/07808742" data-biburl="/bibtex/07808742.bib" data-amsurl="/amsrefs/07808742.bib" data-xmlurl="/xml/07808742.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07808742.pdf" title="Zbl 1548.13031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jpaa.2023.107595" aria-label="DOI for “Ideals of submaximal minors of sparse symmetric matrices”" title="10.1016/j.jpaa.2023.107595">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2211.07020"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7797723" value="7797723" aria-label="mark item Zbl 1533.13025"></div> <div class="author"><a href="/authors/caminata.alessio" title="Author Profile">Caminata, Alessio</a>; <a href="/authors/cid-ruiz.yairon" title="Author Profile">Cid-Ruiz, Yairon</a>; <a href="/authors/conca.aldo" title="Author Profile">Conca, Aldo</a></div> <h3 class="title"> <a href="/1533.13025"><strong>Multidegrees, prime ideals, and non-standard gradings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.13025">Zbl 1533.13025</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A507831" title="Articles in this Issue">435, Part A, Article ID 109361, 46 p. (2023)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14800">Thanh Vu (Hà Nội)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13H15" title="Multiplicity theory and related topics">13H15</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14C17" title="Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry">14C17</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.13025" data-ciurl="/ci/07797723" data-biburl="/bibtex/07797723.bib" data-amsurl="/amsrefs/07797723.bib" data-xmlurl="/xml/07797723.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07797723.pdf" title="Zbl 1533.13025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2023.109361" aria-label="DOI for “Multidegrees, prime ideals, and non-standard gradings”" title="10.1016/j.aim.2023.109361">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2208.07238"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7753254" value="7753254" aria-label="mark item Zbl 1525.00020"></div> <div class="author"></div> <div class="author_references"><a href="/authors/henrion.didier" title="Author Profile">Henrion, Didier (ed.)</a>; <a href="/authors/kuhlmann.salma" title="Author Profile">Kuhlmann, Salma (ed.)</a>; <a href="/authors/mezic.igor" title="Author Profile">Mezić, Igor (ed.)</a>; <a href="/authors/vinnikov.victor" title="Author Profile">Vinnikov, Victor (ed.)</a></div> <h3 class="title"> <a href="/1525.00020"><strong>Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12&ndash;17, 2023.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1525.00020">Zbl 1525.00020</a> </h3> <div class="source"> <a href="/serials/3247" title="Journal Profile">Oberwolfach Rep.</a> <a href="/?q=in%3A503383" title="Articles in this Issue">20, No. 1, 741-811 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A00B05" title="Collections of abstracts of lectures">00B05</a> <a class="mono" href="/classification/?q=cc%3A00B25" title="Proceedings of conferences of miscellaneous specific interest">00B25</a> <a class="mono" href="/classification/?q=cc%3A14-06" title="Proceedings, conferences, collections, etc. pertaining to algebraic geometry">14-06</a> <a class="mono" href="/classification/?q=cc%3A14Pxx" title="Real algebraic and real-analytic geometry">14Pxx</a> <a class="mono" href="/classification/?q=cc%3A12D15" title="Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)">12D15</a> <a class="mono" href="/classification/?q=cc%3A13J30" title="Real algebra">13J30</a> <a class="mono" href="/classification/?q=cc%3A14M12" title="Determinantal varieties">14M12</a> <a class="mono" href="/classification/?q=cc%3A14Q30" title="Computational real algebraic geometry">14Q30</a> <a class="mono" href="/classification/?q=cc%3A37M25" title="Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.)">37M25</a> <a class="mono" href="/classification/?q=cc%3A44A60" title="Moment problems">44A60</a> <a class="mono" href="/classification/?q=cc%3A46N10" title="Applications of functional analysis in optimization, convex analysis, mathematical programming, economics">46N10</a> <a class="mono" href="/classification/?q=cc%3A47A57" title="Linear operator methods in interpolation, moment and extension problems">47A57</a> <a class="mono" href="/classification/?q=cc%3A49M29" title="Numerical methods involving duality">49M29</a> <a class="mono" href="/classification/?q=cc%3A49N35" title="Optimal feedback synthesis">49N35</a> <a class="mono" href="/classification/?q=cc%3A52A20" title="Convex sets in \(n\) dimensions (including convex hypersurfaces)">52A20</a> <a class="mono" href="/classification/?q=cc%3A52A27" title="Approximation by convex sets">52A27</a> <a class="mono" href="/classification/?q=cc%3A52A41" title="Convex functions and convex programs in convex geometry">52A41</a> <a class="mono" href="/classification/?q=cc%3A90C22" title="Semidefinite programming">90C22</a> <a class="mono" href="/classification/?q=cc%3A90C25" title="Convex programming">90C25</a> <a class="mono" href="/classification/?q=cc%3A90C26" title="Nonconvex programming, global optimization">90C26</a> <a class="mono" href="/classification/?q=cc%3A93B28" title="Operator-theoretic methods">93B28</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1525.00020" data-ciurl="/ci/07753254" data-biburl="/bibtex/07753254.bib" data-amsurl="/amsrefs/07753254.bib" data-xmlurl="/xml/07753254.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07753254.pdf" title="Zbl 1525.00020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/OWR/2023/14" aria-label="DOI for “Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12--17, 2023”" title="10.4171/OWR/2023/14">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7731446" value="7731446" aria-label="mark item Zbl 1522.13040"></div> <div class="author"><a href="/authors/breiding.paul" title="Author Profile">Breiding, Paul</a>; <a href="/authors/celik.turku-ozlum" title="Author Profile">Çelik, Türkü Özlüm</a>; <a href="/authors/duff.timothy" title="Author Profile">Duff, Timothy</a>; <a href="/authors/heaton.alexander" title="Author Profile">Heaton, Alexander</a>; <a href="/authors/maraj.aida" title="Author Profile">Maraj, Aida</a>; <a href="/authors/sattelberger.anna-laura" title="Author Profile">Sattelberger, Anna-Laura</a>; <a href="/authors/venturello.lorenzo" title="Author Profile">Venturello, Lorenzo</a>; <a href="/authors/yuruk.oguzhan" title="Author Profile">Yürük, Oǧuzhan</a></div> <h3 class="title"> <a href="/1522.13040"><strong>Nonlinear algebra and applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.13040">Zbl 1522.13040</a> </h3> <div class="source"> <a href="/serials/7351" title="Journal Profile">Numer. Algebra Control Optim.</a> <a href="/?q=in%3A501491" title="Articles in this Issue">13, No. 1, 81-116 (2023)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A17409">Hanieh Keneshlou (Leipzig)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A14Q20" title="Effectivity, complexity and computational aspects of algebraic geometry">14Q20</a> <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.13040" data-ciurl="/ci/07731446" data-biburl="/bibtex/07731446.bib" data-amsurl="/amsrefs/07731446.bib" data-xmlurl="/xml/07731446.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07731446.pdf" title="Zbl 1522.13040 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/naco.2021045" aria-label="DOI for “Nonlinear algebra and applications”" title="10.3934/naco.2021045">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2103.16300"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7727505" value="7727505" aria-label="mark item Zbl 07727505"></div> <div class="author"><a href="/authors/nicklasson.lisa" title="Author Profile">Nicklasson, Lisa</a></div> <h3 class="title"> <a href="/7727505"><strong>Toric and non-toric Bayesian networks.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7727505">Zbl 07727505</a> </h3> <div class="source"> <a href="/serials/8935" title="Journal Profile">SIAM J. Appl. Algebra Geom.</a> <a href="/?q=in%3A501196" title="Articles in this Issue">7, No. 3, 549-566 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> <a class="mono" href="/classification/?q=cc%3A62A09" title="Graphical methods in statistics">62A09</a> <a class="mono" href="/classification/?q=cc%3A13F65" title="Commutative rings defined by binomial ideals, toric rings, etc.">13F65</a> <a class="mono" href="/classification/?q=cc%3A13C70" title="Theory of modules and ideals in commutative rings described by combinatorial properties">13C70</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07727505" data-ciurl="/ci/07727505" data-biburl="/bibtex/07727505.bib" data-amsurl="/amsrefs/07727505.bib" data-xmlurl="/xml/07727505.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07727505.pdf" title="Zbl 07727505 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1515690" aria-label="DOI for “Toric and non-toric Bayesian networks”" title="10.1137/22M1515690">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2208.06294"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7697442" value="7697442" aria-label="mark item Zbl 1522.20224"></div> <div class="author"><a href="/authors/de-alba-casillas.hernan" title="Author Profile">de Alba Casillas, Hernán</a>; <a href="/authors/duarte.daniel" title="Author Profile">Duarte, Daniel</a>; <a href="/authors/vargas-antuna.raul" title="Author Profile">Vargas Antuna, Raúl</a></div> <h3 class="title"> <a href="/1522.20224"><strong>A semigroup defining the Gröbner degeneration of a toric ideal.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.20224">Zbl 1522.20224</a> </h3> <div class="source"> <a href="/serials/705" title="Journal Profile">Semigroup Forum</a> <a href="/?q=in%3A497713" title="Articles in this Issue">106, No. 3, 569-588 (2023)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A11878">Chen Sheng (Harbin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A20M14" title="Commutative semigroups">20M14</a> <a class="mono" href="/classification/?q=cc%3A13F65" title="Commutative rings defined by binomial ideals, toric rings, etc.">13F65</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A20M05" title="Free semigroups, generators and relations, word problems">20M05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1522.20224" data-ciurl="/ci/07697442" data-biburl="/bibtex/07697442.bib" data-amsurl="/amsrefs/07697442.bib" data-xmlurl="/xml/07697442.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07697442.pdf" title="Zbl 1522.20224 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00233-023-10351-4" aria-label="DOI for “A semigroup defining the Gröbner degeneration of a toric ideal”" title="10.1007/s00233-023-10351-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2201.04220"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7682683" value="7682683" aria-label="mark item Zbl 07682683"></div> <div class="author"><a href="/authors/coons.jane-ivy" title="Author Profile">Coons, Jane I.</a>; <a href="/authors/maraj.aida" title="Author Profile">Maraj, Aida</a>; <a href="/authors/misra.pratik" title="Author Profile">Misra, Pratik</a>; <a href="/authors/sorea.miruna-stefana" title="Author Profile">Sorea, Miruna-Ştefana</a></div> <h3 class="title"> <a href="/7682683"><strong>Symmetrically colored Gaussian graphical models with toric vanishing ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7682683">Zbl 07682683</a> </h3> <div class="source"> <a href="/serials/8935" title="Journal Profile">SIAM J. Appl. Algebra Geom.</a> <a href="/?q=in%3A495417" title="Articles in this Issue">7, No. 1, 133-158 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> <a class="mono" href="/classification/?q=cc%3A62H22" title="Probabilistic graphical models">62H22</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07682683" data-ciurl="/ci/07682683" data-biburl="/bibtex/07682683.bib" data-amsurl="/amsrefs/07682683.bib" data-xmlurl="/xml/07682683.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07682683.pdf" title="Zbl 07682683 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/21M1466943" aria-label="DOI for “Symmetrically colored Gaussian graphical models with toric vanishing ideals”" title="10.1137/21M1466943">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2111.14817"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7648562" value="7648562" aria-label="mark item Zbl 1535.13038"></div> <div class="author"><a href="/authors/tatakis.christos" title="Author Profile">Tatakis, Christos</a>; <a href="/authors/thoma.apostolos" title="Author Profile">Thoma, Apostolos</a>; <a href="/authors/vladoiu.marius" title="Author Profile">Vladoiu, Marius</a></div> <h3 class="title"> <a href="/1535.13038"><strong>The Markov complexity of book graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1535.13038">Zbl 1535.13038</a> </h3> <div class="source"> <a href="/serials/1605" title="Journal Profile">Linear Algebra Appl.</a> <a href="/?q=in%3A492076" title="Articles in this Issue">661, 51-78 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F65" title="Commutative rings defined by binomial ideals, toric rings, etc.">13F65</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A05C20" title="Directed graphs (digraphs), tournaments">05C20</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1535.13038" data-ciurl="/ci/07648562" data-biburl="/bibtex/07648562.bib" data-amsurl="/amsrefs/07648562.bib" data-xmlurl="/xml/07648562.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07648562.pdf" title="Zbl 1535.13038 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.laa.2022.12.012" aria-label="DOI for “The Markov complexity of book graphs”" title="10.1016/j.laa.2022.12.012">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7518348" value="7518348" aria-label="mark item Zbl 1534.13018"></div> <div class="author"><a href="/authors/misra.pratik" title="Author Profile">Misra, Pratik</a>; <a href="/authors/sullivant.seth" title="Author Profile">Sullivant, Seth</a></div> <h3 class="title"> <a href="/1534.13018"><strong>Directed Gaussian graphical models with toric vanishing ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1534.13018">Zbl 1534.13018</a> </h3> <div class="source"> <a href="/serials/831" title="Journal Profile">Adv. Appl. Math.</a> <a href="/?q=in%3A481290" title="Articles in this Issue">138, Article ID 102345, 38 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F65" title="Commutative rings defined by binomial ideals, toric rings, etc.">13F65</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A14P10" title="Semialgebraic sets and related spaces">14P10</a> <a class="mono" href="/classification/?q=cc%3A62A09" title="Graphical methods in statistics">62A09</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1534.13018" data-ciurl="/ci/07518348" data-biburl="/bibtex/07518348.bib" data-amsurl="/amsrefs/07518348.bib" data-xmlurl="/xml/07518348.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07518348.pdf" title="Zbl 1534.13018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aam.2022.102345" aria-label="DOI for “Directed Gaussian graphical models with toric vanishing ideals”" title="10.1016/j.aam.2022.102345">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2105.13357"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7513929" value="7513929" aria-label="mark item Zbl 1493.14071"></div> <div class="author"><a href="/authors/clarke.oliver" title="Author Profile">Clarke, Oliver</a>; <a href="/authors/higashitani.akihiro" title="Author Profile">Higashitani, Akihiro</a>; <a href="/authors/mohammadi.fatemeh" title="Author Profile">Mohammadi, Fatemeh</a></div> <h3 class="title"> <a href="/1493.14071"><strong>Combinatorial mutations and block diagonal polytopes.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1493.14071">Zbl 1493.14071</a> </h3> <div class="source"> <a href="/serials/387" title="Journal Profile">Collect. Math.</a> <a href="/?q=in%3A480953" title="Articles in this Issue">73, No. 2, 305-335 (2022)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A16139">Keyvan Yaghmayi (Salt Lake City)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A14M15" title="Grassmannians, Schubert varieties, flag manifolds">14M15</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A14T99" title="Tropical geometry">14T99</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1493.14071" data-ciurl="/ci/07513929" data-biburl="/bibtex/07513929.bib" data-amsurl="/amsrefs/07513929.bib" data-xmlurl="/xml/07513929.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07513929.pdf" title="Zbl 1493.14071 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13348-021-00321-w" aria-label="DOI for “Combinatorial mutations and block diagonal polytopes”" title="10.1007/s13348-021-00321-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2010.04079"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7506958" value="7506958" aria-label="mark item Zbl 1486.13034"></div> <div class="author"><a href="/authors/matusevich.laura-felicia" title="Author Profile">Matusevich, Laura Felicia</a>; <a href="/authors/yu.byeongsu" title="Author Profile">Yu, Byeongsu</a></div> <h3 class="title"> <a href="/1486.13034"><strong>Standard pairs for monomial ideals in semigroup rings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1486.13034">Zbl 1486.13034</a> </h3> <div class="source"> <a href="/serials/518" title="Journal Profile">J. Pure Appl. Algebra</a> <a href="/?q=in%3A480048" title="Articles in this Issue">226, No. 9, Article ID 107036, 23 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F65" title="Commutative rings defined by binomial ideals, toric rings, etc.">13F65</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A20M25" title="Semigroup rings, multiplicative semigroups of rings">20M25</a> <a class="mono" href="/classification/?q=cc%3A68W30" title="Symbolic computation and algebraic computation">68W30</a> <a class="mono" href="/classification/?q=cc%3A13F55" title="Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes">13F55</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> <a class="mono" href="/classification/?q=cc%3A90C90" title="Applications of mathematical programming">90C90</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1486.13034" data-ciurl="/ci/07506958" data-biburl="/bibtex/07506958.bib" data-amsurl="/amsrefs/07506958.bib" data-xmlurl="/xml/07506958.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07506958.pdf" title="Zbl 1486.13034 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jpaa.2022.107036" aria-label="DOI for “Standard pairs for monomial ideals in semigroup rings”" title="10.1016/j.jpaa.2022.107036">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2005.10968"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7451322" value="7451322" aria-label="mark item Zbl 1479.05374"></div> <div class="author"><a href="/authors/mori.kenta" title="Author Profile">Mori, Kenta</a>; <a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a>; <a href="/authors/tsuchiya.akiyoshi" title="Author Profile">Tsuchiya, Akiyoshi</a></div> <h3 class="title"> <a href="/1479.05374"><strong>Edge rings with \(q\)-linear resolutions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1479.05374">Zbl 1479.05374</a> </h3> <div class="source"> <a href="/serials/473" title="Journal Profile">J. Algebra</a> <a href="/?q=in%3A473910" title="Articles in this Issue">593, 550-567 (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A13H10" title="Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)">13H10</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1479.05374" data-ciurl="/ci/07451322" data-biburl="/bibtex/07451322.bib" data-amsurl="/amsrefs/07451322.bib" data-xmlurl="/xml/07451322.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07451322.pdf" title="Zbl 1479.05374 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jalgebra.2021.11.018" aria-label="DOI for “Edge rings with \(q\)-linear resolutions”" title="10.1016/j.jalgebra.2021.11.018">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2010.02854"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7403419" value="7403419" aria-label="mark item Zbl 1475.62289"></div> <div class="author"><a href="/authors/amendola.carlos" title="Author Profile">Améndola, Carlos</a>; <a href="/authors/pham.viet-son" title="Author Profile">Pham, Viet Son</a></div> <h3 class="title"> <a href="/1475.62289"><strong>Autocovariance varieties of moving average random fields.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1475.62289">Zbl 1475.62289</a> </h3> <div class="source"> <a href="/serials/1072" title="Journal Profile">J. Symb. Comput.</a> <a href="/?q=in%3A470039" title="Articles in this Issue">109, 202-219 (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> <a class="mono" href="/classification/?q=cc%3A62M10" title="Time series, auto-correlation, regression, etc. in statistics (GARCH)">62M10</a> <a class="mono" href="/classification/?q=cc%3A62M20" title="Inference from stochastic processes and prediction">62M20</a> <a class="mono" href="/classification/?q=cc%3A62F10" title="Point estimation">62F10</a> <a class="mono" href="/classification/?q=cc%3A60G60" title="Random fields">60G60</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A14Q15" title="Computational aspects of higher-dimensional varieties">14Q15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1475.62289" data-ciurl="/ci/07403419" data-biburl="/bibtex/07403419.bib" data-amsurl="/amsrefs/07403419.bib" data-xmlurl="/xml/07403419.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07403419.pdf" title="Zbl 1475.62289 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jsc.2020.07.002" aria-label="DOI for “Autocovariance varieties of moving average random fields”" title="10.1016/j.jsc.2020.07.002">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1903.08611"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-02912047" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7476200" value="7476200" aria-label="mark item Zbl 1483.13049"></div> <div class="author"><a href="/authors/?q=ai%3Adavies.iyai%7Cdavies.iain%7Cdavies.ian-m%7Cdavies.isobel%7Cdavies.ian%7Cdavies.i-t" title="Author Profile">Davies, I.</a>; <a href="/authors/marigliano.orlando" title="Author Profile">Marigliano, O.</a></div> <h3 class="title"> <a href="/1483.13049"><strong>Coloured graphical models and their symmetries.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1483.13049">Zbl 1483.13049</a> </h3> <div class="source"> <a href="/serials/553" title="Journal Profile">Matematiche</a> <a href="/?q=in%3A477045" title="Articles in this Issue">76, No. 2, 501-515 (2021)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A15473">T. Tamizh Chelvam (Tirunelveli)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A05C50" title="Graphs and linear algebra (matrices, eigenvalues, etc.)">05C50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1483.13049" data-ciurl="/ci/07476200" data-biburl="/bibtex/07476200.bib" data-amsurl="/amsrefs/07476200.bib" data-xmlurl="/xml/07476200.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07476200.pdf" title="Zbl 1483.13049 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4418/2021.76.2.13" aria-label="DOI for “Coloured graphical models and their symmetries”" title="10.4418/2021.76.2.13">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2012.01905"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7476197" value="7476197" aria-label="mark item Zbl 1524.13080"></div> <div class="author"><a href="/authors/eur.christopher" title="Author Profile">Eur, C.</a>; <a href="/authors/fife.tara" title="Author Profile">Fife, T.</a>; <a href="/authors/samper.jose-alejandro" title="Author Profile">Samper, J. A.</a>; <a href="/authors/seynnaeve.tim" title="Author Profile">Seynnaeve, T.</a></div> <h3 class="title"> <a href="/1524.13080"><strong>Reciprocal maximum likelihood degrees of diagonal linear concentration models.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1524.13080">Zbl 1524.13080</a> </h3> <div class="source"> <a href="/serials/553" title="Journal Profile">Matematiche</a> <a href="/?q=in%3A477045" title="Articles in this Issue">76, No. 2, 447-459 (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A05B35" title="Combinatorial aspects of matroids and geometric lattices">05B35</a> <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> <a class="mono" href="/classification/?q=cc%3A14C17" title="Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry">14C17</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1524.13080" data-ciurl="/ci/07476197" data-biburl="/bibtex/07476197.bib" data-amsurl="/amsrefs/07476197.bib" data-xmlurl="/xml/07476197.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07476197.pdf" title="Zbl 1524.13080 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4418/2021.76.2.10" aria-label="DOI for “Reciprocal maximum likelihood degrees of diagonal linear concentration models”" title="10.4418/2021.76.2.10">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2011.14182"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7476192" value="7476192" aria-label="mark item Zbl 1481.14010"></div> <div class="author"><a href="/authors/cid-ruiz.yairon" title="Author Profile">Cid-Ruiz, Y.</a></div> <h3 class="title"> <a href="/1481.14010"><strong>Equations and multidegrees for inverse symmetric matrix pairs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1481.14010">Zbl 1481.14010</a> </h3> <div class="source"> <a href="/serials/553" title="Journal Profile">Matematiche</a> <a href="/?q=in%3A477045" title="Articles in this Issue">76, No. 2, 369-381 (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A14C17" title="Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry">14C17</a> <a class="mono" href="/classification/?q=cc%3A13H15" title="Multiplicity theory and related topics">13H15</a> <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A13A30" title="Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics">13A30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1481.14010" data-ciurl="/ci/07476192" data-biburl="/bibtex/07476192.bib" data-amsurl="/amsrefs/07476192.bib" data-xmlurl="/xml/07476192.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07476192.pdf" title="Zbl 1481.14010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4418/2021.76.2.5" aria-label="DOI for “Equations and multidegrees for inverse symmetric matrix pairs”" title="10.4418/2021.76.2.5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2011.04616"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7378256" value="7378256" aria-label="mark item Zbl 1467.14120"></div> <div class="author"><a href="/authors/jiang.yuhan" title="Author Profile">Jiang, Yuhan</a>; <a href="/authors/sturmfels.bernd" title="Author Profile">Sturmfels, Bernd</a></div> <h3 class="title"> <a href="/1467.14120"><strong>Bad projections of the PSD cone.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1467.14120">Zbl 1467.14120</a> </h3> <div class="source"> <a href="/serials/387" title="Journal Profile">Collect. Math.</a> <a href="/?q=in%3A467348" title="Articles in this Issue">72, No. 2, 261-280 (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A14M15" title="Grassmannians, Schubert varieties, flag manifolds">14M15</a> <a class="mono" href="/classification/?q=cc%3A90C22" title="Semidefinite programming">90C22</a> <a class="mono" href="/classification/?q=cc%3A14P10" title="Semialgebraic sets and related spaces">14P10</a> <a class="mono" href="/classification/?q=cc%3A52B55" title="Computational aspects related to convexity">52B55</a> <a class="mono" href="/classification/?q=cc%3A90C46" title="Optimality conditions and duality in mathematical programming">90C46</a> <a class="mono" href="/classification/?q=cc%3A13J30" title="Real algebra">13J30</a> <a class="mono" href="/classification/?q=cc%3A14Q15" title="Computational aspects of higher-dimensional varieties">14Q15</a> <a class="mono" href="/classification/?q=cc%3A14Q05" title="Computational aspects of algebraic curves">14Q05</a> <a class="mono" href="/classification/?q=cc%3A49N15" title="Duality theory (optimization)">49N15</a> <a class="mono" href="/classification/?q=cc%3A52A40" title="Inequalities and extremum problems involving convexity in convex geometry">52A40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1467.14120" data-ciurl="/ci/07378256" data-biburl="/bibtex/07378256.bib" data-amsurl="/amsrefs/07378256.bib" data-xmlurl="/xml/07378256.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07378256.pdf" title="Zbl 1467.14120 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13348-021-00319-4" aria-label="DOI for “Bad projections of the PSD cone”" title="10.1007/s13348-021-00319-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2006.09956"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7363375" value="7363375" aria-label="mark item Zbl 1495.14095"></div> <div class="author"><a href="/authors/grigorev.dimitri-yu" title="Author Profile">Grigoriev, Dima</a>; <a href="/authors/iosif.alexandru" title="Author Profile">Iosif, Alexandru</a>; <a href="/authors/rahkooy.hamid" title="Author Profile">Rahkooy, Hamid</a>; <a href="/authors/sturm.thomas" title="Author Profile">Sturm, Thomas</a>; <a href="/authors/weber.andreas-gunter" title="Author Profile">Weber, Andreas</a></div> <h3 class="title"> <a href="/1495.14095"><strong>Efficiently and effectively recognizing toricity of steady state varieties.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1495.14095">Zbl 1495.14095</a> </h3> <div class="source"> <a href="/serials/4909" title="Journal Profile">Math. Comput. Sci.</a> <a href="/?q=in%3A465630" title="Articles in this Issue">15, No. 2, 199-232 (2021)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A19916">Timothy Duff (Seattle)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A14Q20" title="Effectivity, complexity and computational aspects of algebraic geometry">14Q20</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A14P05" title="Real algebraic sets">14P05</a> <a class="mono" href="/classification/?q=cc%3A92C42" title="Systems biology, networks">92C42</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1495.14095" data-ciurl="/ci/07363375" data-biburl="/bibtex/07363375.bib" data-amsurl="/amsrefs/07363375.bib" data-xmlurl="/xml/07363375.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07363375.pdf" title="Zbl 1495.14095 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11786-020-00479-9" aria-label="DOI for “Efficiently and effectively recognizing toricity of steady state varieties”" title="10.1007/s11786-020-00479-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1910.04100"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7274362" value="7274362" aria-label="mark item Zbl 1457.13051"></div> <div class="author"><a href="/authors/sakamoto.ryuichi" title="Author Profile">Sakamoto, Ryuichi</a></div> <h3 class="title"> <a href="/1457.13051"><strong>Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1457.13051">Zbl 1457.13051</a> </h3> <div class="source"> <a href="/serials/1072" title="Journal Profile">J. Symb. Comput.</a> <a href="/?q=in%3A455110" title="Articles in this Issue">103, 201-212 (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A13A70" title="General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.)">13A70</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1457.13051" data-ciurl="/ci/07274362" data-biburl="/bibtex/07274362.bib" data-amsurl="/amsrefs/07274362.bib" data-xmlurl="/xml/07274362.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07274362.pdf" title="Zbl 1457.13051 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jsc.2019.12.004" aria-label="DOI for “Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals”" title="10.1016/j.jsc.2019.12.004">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1802.08796"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7406497" value="7406497" aria-label="mark item Zbl 1473.00047"></div> <div class="author"></div> <div class="author_references"><a href="/authors/juhnke-kubitzke.martina" title="Author Profile">Juhnke-Kubitzke, Martina (ed.)</a>; <a href="/authors/migliore.juan-carlos" title="Author Profile">Migliore, Juan C. (ed.)</a>; <a href="/authors/miro-roig.rosa-maria" title="Author Profile">Miró-Roig, Rosa Maria (ed.)</a>; <a href="/authors/szpond.justyna" title="Author Profile">Szpond, Justyna (ed.)</a></div> <h3 class="title"> <a href="/1473.00047"><strong>Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 &ndash; October 3, 2020 (hybrid meeting).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1473.00047">Zbl 1473.00047</a> </h3> <div class="source"> <a href="/serials/3247" title="Journal Profile">Oberwolfach Rep.</a> <a href="/?q=in%3A470439" title="Articles in this Issue">17, No. 4, 1539-1600 (2020)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A00B05" title="Collections of abstracts of lectures">00B05</a> <a class="mono" href="/classification/?q=cc%3A00B25" title="Proceedings of conferences of miscellaneous specific interest">00B25</a> <a class="mono" href="/classification/?q=cc%3A13-06" title="Proceedings, conferences, collections, etc. pertaining to commutative algebra">13-06</a> <a class="mono" href="/classification/?q=cc%3A05-06" title="Proceedings, conferences, collections, etc. pertaining to combinatorics">05-06</a> <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A13E10" title="Commutative Artinian rings and modules, finite-dimensional algebras">13E10</a> <a class="mono" href="/classification/?q=cc%3A13F55" title="Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes">13F55</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A05E45" title="Combinatorial aspects of simplicial complexes">05E45</a> <a class="mono" href="/classification/?q=cc%3A06A07" title="Combinatorics of partially ordered sets">06A07</a> <a class="mono" href="/classification/?q=cc%3A06A11" title="Algebraic aspects of posets">06A11</a> <a class="mono" href="/classification/?q=cc%3A13A02" title="Graded rings">13A02</a> <a class="mono" href="/classification/?q=cc%3A13A50" title="Actions of groups on commutative rings; invariant theory">13A50</a> <a class="mono" href="/classification/?q=cc%3A14J60" title="Vector bundles on surfaces and higher-dimensional varieties, and their moduli">14J60</a> <a class="mono" href="/classification/?q=cc%3A14L30" title="Group actions on varieties or schemes (quotients)">14L30</a> <a class="mono" href="/classification/?q=cc%3A14M05" title="Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)">14M05</a> <a class="mono" href="/classification/?q=cc%3A14M10" title="Complete intersections">14M10</a> <a class="mono" href="/classification/?q=cc%3A14M15" title="Grassmannians, Schubert varieties, flag manifolds">14M15</a> <a class="mono" href="/classification/?q=cc%3A17B10" title="Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)">17B10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1473.00047" data-ciurl="/ci/07406497" data-biburl="/bibtex/07406497.bib" data-amsurl="/amsrefs/07406497.bib" data-xmlurl="/xml/07406497.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07406497.pdf" title="Zbl 1473.00047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/OWR/2020/31" aria-label="DOI for “Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting)”" title="10.4171/OWR/2020/31">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7166168" value="7166168" aria-label="mark item Zbl 1436.13059"></div> <div class="author"><a href="/authors/koutsoumpelias.alexandros-grosdos" title="Author Profile">Koutsoumpelias, Alexandros Grosdos</a>; <a href="/authors/wageringel.markus" title="Author Profile">Wageringel, Markus</a></div> <h3 class="title"> <a href="/1436.13059"><strong>Moment ideals of local Dirac mixtures.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1436.13059">Zbl 1436.13059</a> </h3> <div class="source"> <a href="/serials/8935" title="Journal Profile">SIAM J. Appl. Algebra Geom.</a> <a href="/?q=in%3A446348" title="Articles in this Issue">4, No. 1, 1-27 (2020)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10917">Sonia Pérez Díaz (Madrid)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A62F10" title="Point estimation">62F10</a> <a class="mono" href="/classification/?q=cc%3A14Q10" title="Computational aspects of algebraic surfaces">14Q10</a> <a class="mono" href="/classification/?q=cc%3A65T40" title="Numerical methods for trigonometric approximation and interpolation">65T40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1436.13059" data-ciurl="/ci/07166168" data-biburl="/bibtex/07166168.bib" data-amsurl="/amsrefs/07166168.bib" data-xmlurl="/xml/07166168.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07166168.pdf" title="Zbl 1436.13059 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/18M1219783" aria-label="DOI for “Moment ideals of local Dirac mixtures”" title="10.1137/18M1219783">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1809.09934"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7052091" value="7052091" aria-label="mark item Zbl 1419.13025"></div> <div class="author"><a href="/authors/sahin.mesut" title="Author Profile">Şahin, Mesut</a>; <a href="/authors/stella.leah-gold" title="Author Profile">Stella, Leah Gold</a></div> <h3 class="title"> <a href="/1419.13025"><strong>Gluing semigroups and strongly indispensable free resolutions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1419.13025">Zbl 1419.13025</a> </h3> <div class="source"> <a href="/serials/1379" title="Journal Profile">Int. J. Algebra Comput.</a> <a href="/?q=in%3A432414" title="Articles in this Issue">29, No. 2, 263-278 (2019)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A5884">Leonid M. Martynov (Omsk)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A20M25" title="Semigroup rings, multiplicative semigroups of rings">20M25</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A13A02" title="Graded rings">13A02</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1419.13025" data-ciurl="/ci/07052091" data-biburl="/bibtex/07052091.bib" data-amsurl="/amsrefs/07052091.bib" data-xmlurl="/xml/07052091.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07052091.pdf" title="Zbl 1419.13025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218196719500012" aria-label="DOI for “Gluing semigroups and strongly indispensable free resolutions”" title="10.1142/S0218196719500012">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1710.09298"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6945100" value="6945100" aria-label="mark item Zbl 1405.13008"></div> <div class="author"><a href="/authors/sahin.mesut" title="Author Profile">Şahin, Mesut</a></div> <h3 class="title"> <a href="/1405.13008"><strong>Liftings of a monomial curve.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1405.13008">Zbl 1405.13008</a> </h3> <div class="source"> <a href="/serials/51" title="Journal Profile">Bull. Aust. Math. Soc.</a> <a href="/?q=in%3A414764" title="Articles in this Issue">98, No. 2, 230-238 (2018)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A15162">Amir Mafi (Sanandaj and Tehran)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13A30" title="Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics">13A30</a> <a class="mono" href="/classification/?q=cc%3A13C13" title="Other special types of modules and ideals in commutative rings">13C13</a> <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A16S36" title="Ordinary and skew polynomial rings and semigroup rings">16S36</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1405.13008" data-ciurl="/ci/06945100" data-biburl="/bibtex/06945100.bib" data-amsurl="/amsrefs/06945100.bib" data-xmlurl="/xml/06945100.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06945100.pdf" title="Zbl 1405.13008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0004972718000400" aria-label="DOI for “Liftings of a monomial curve”" title="10.1017/S0004972718000400">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1803.07285"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6900765" value="6900765" aria-label="mark item Zbl 1412.13027"></div> <div class="author"><a href="/authors/sahin.mesut" title="Author Profile">Şahin, Mesut</a>; <a href="/authors/sahin.nil" title="Author Profile">Şahin, Nil</a></div> <h3 class="title"> <a href="/1412.13027"><strong>On pseudo symmetric monomial curves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1412.13027">Zbl 1412.13027</a> </h3> <div class="source"> <a href="/serials/57" title="Journal Profile">Commun. Algebra</a> <a href="/?q=in%3A404504" title="Articles in this Issue">46, No. 6, 2561-2573 (2018)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A16600">Juan Ignacio García García (Cádiz)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13H10" title="Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)">13H10</a> <a class="mono" href="/classification/?q=cc%3A14H20" title="Singularities of curves, local rings">14H20</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1412.13027" data-ciurl="/ci/06900765" data-biburl="/bibtex/06900765.bib" data-amsurl="/amsrefs/06900765.bib" data-xmlurl="/xml/06900765.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06900765.pdf" title="Zbl 1412.13027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/00927872.2017.1392532" aria-label="DOI for “On pseudo symmetric monomial curves”" title="10.1080/00927872.2017.1392532">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1507.01288"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://hdl.handle.net/11693/48399" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7245208" value="7245208" aria-label="mark item Zbl 1457.68322"></div> <div class="author"><a href="/authors/aoyama.toru" title="Author Profile">Aoyama, Toru</a></div> <h3 class="title"> <a href="/1457.68322"><strong>An algorithm for computing minimal associated primes of binomial ideals without producing redundant components.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1457.68322">Zbl 1457.68322</a> </h3> <div class="source"> Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25&ndash;28, 2017. New York, NY: Association for Computing Machinery (ACM). 21-27 (2017). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68W30" title="Symbolic computation and algebraic computation">68W30</a> <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1457.68322" data-ciurl="/ci/07245208" data-biburl="/bibtex/07245208.bib" data-amsurl="/amsrefs/07245208.bib" data-xmlurl="/xml/07245208.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07245208.pdf" title="Zbl 1457.68322 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1145/3087604.3087644" aria-label="DOI for “An algorithm for computing minimal associated primes of binomial ideals without producing redundant components”" title="10.1145/3087604.3087644">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6816728" value="6816728" aria-label="mark item Zbl 1387.13048"></div> <div class="author"><a href="/authors/eser.zekiye-sahin" title="Author Profile">Eser, Zekiye Sahin</a>; <a href="/authors/matusevich.laura-felicia" title="Author Profile">Matusevich, Laura Felicia</a></div> <h3 class="title"> <a href="/1387.13048"><strong>Primary components of codimension two lattice basis ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1387.13048">Zbl 1387.13048</a> </h3> <div class="source"> <a href="/serials/2427" title="Journal Profile">Ann. Comb.</a> <a href="/?q=in%3A369290" title="Articles in this Issue">21, No. 3, 353-373 (2017)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13200">Thomas Kahle (Magdeburg)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F99" title="Arithmetic rings and other special commutative rings">13F99</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> <a class="mono" href="/classification/?q=cc%3A33C70" title="Other hypergeometric functions and integrals in several variables">33C70</a> <a class="mono" href="/classification/?q=cc%3A20M25" title="Semigroup rings, multiplicative semigroups of rings">20M25</a> <a class="mono" href="/classification/?q=cc%3A05C50" title="Graphs and linear algebra (matrices, eigenvalues, etc.)">05C50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1387.13048" data-ciurl="/ci/06816728" data-biburl="/bibtex/06816728.bib" data-amsurl="/amsrefs/06816728.bib" data-xmlurl="/xml/06816728.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06816728.pdf" title="Zbl 1387.13048 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00026-017-0355-z" aria-label="DOI for “Primary components of codimension two lattice basis ideals”" title="10.1007/s00026-017-0355-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1403.0679"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6752329" value="6752329" aria-label="mark item Zbl 1391.13057"></div> <div class="author"><a href="/authors/bernstein.daniel-irving" title="Author Profile">Bernstein, Daniel Irving</a>; <a href="/authors/sullivant.seth" title="Author Profile">Sullivant, Seth</a></div> <h3 class="title"> <a href="/1391.13057"><strong>Normal binary hierarchical models.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1391.13057">Zbl 1391.13057</a> </h3> <div class="source"> <a href="/serials/1825" title="Journal Profile">Exp. Math.</a> <a href="/?q=in%3A366257" title="Articles in this Issue">26, No. 2, 153-164 (2017)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14860">Michael R. DiPasquale (Stillwater)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A05E45" title="Combinatorial aspects of simplicial complexes">05E45</a> <a class="mono" href="/classification/?q=cc%3A52C07" title="Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)">52C07</a> <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> <a class="mono" href="/classification/?q=cc%3A62Q05" title="Statistical tables">62Q05</a> <a class="mono" href="/classification/?q=cc%3A14Q99" title="Computational aspects in algebraic geometry">14Q99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1391.13057" data-ciurl="/ci/06752329" data-biburl="/bibtex/06752329.bib" data-amsurl="/amsrefs/06752329.bib" data-xmlurl="/xml/06752329.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06752329.pdf" title="Zbl 1391.13057 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/10586458.2016.1142911" aria-label="DOI for “Normal binary hierarchical models”" title="10.1080/10586458.2016.1142911">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1508.05461"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6744834" value="6744834" aria-label="mark item Zbl 1373.13010"></div> <div class="author"><a href="/authors/corso.alberto" title="Author Profile">Corso, Alberto</a>; <a href="/authors/nagel.uwe" title="Author Profile">Nagel, Uwe</a>; <a href="/authors/petrovic.sonja" title="Author Profile">Petrović, Sonja</a>; <a href="/authors/yuen.cornelia" title="Author Profile">Yuen, Cornelia</a></div> <h3 class="title"> <a href="/1373.13010"><strong>Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1373.13010">Zbl 1373.13010</a> </h3> <div class="source"> <a href="/serials/1254" title="Journal Profile">Forum Math.</a> <a href="/?q=in%3A367706" title="Articles in this Issue">29, No. 4, 799-830 (2017)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A6665">Juan C. Migliore (Notre Dame)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13C40" title="Linkage, complete intersections and determinantal ideals">13C40</a> <a class="mono" href="/classification/?q=cc%3A13F55" title="Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes">13F55</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A16S37" title="Quadratic and Koszul algebras">16S37</a> <a class="mono" href="/classification/?q=cc%3A14M05" title="Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)">14M05</a> <a class="mono" href="/classification/?q=cc%3A14M12" title="Determinantal varieties">14M12</a> <a class="mono" href="/classification/?q=cc%3A14N10" title="Enumerative problems (combinatorial problems) in algebraic geometry">14N10</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A05E45" title="Combinatorial aspects of simplicial complexes">05E45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1373.13010" data-ciurl="/ci/06744834" data-biburl="/bibtex/06744834.bib" data-amsurl="/amsrefs/06744834.bib" data-xmlurl="/xml/06744834.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06744834.pdf" title="Zbl 1373.13010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/forum-2016-0007" aria-label="DOI for “Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas”" title="10.1515/forum-2016-0007">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1502.03484"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6722612" value="6722612" aria-label="mark item Zbl 1444.13037"></div> <div class="author"><a href="/authors/cifuentes.diego" title="Author Profile">Cifuentes, Diego</a>; <a href="/authors/parrilo.pablo-a" title="Author Profile">Parrilo, Pablo A.</a></div> <h3 class="title"> <a href="/1444.13037"><strong>Chordal networks of polynomial ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1444.13037">Zbl 1444.13037</a> </h3> <div class="source"> <a href="/serials/8935" title="Journal Profile">SIAM J. Appl. Algebra Geom.</a> <a href="/?q=in%3A366041" title="Articles in this Issue">1, No. 1, 73-110 (2017)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14679">Francesca Cioffi (Napoli)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P15" title="Solving polynomial systems; resultants">13P15</a> <a class="mono" href="/classification/?q=cc%3A14Q99" title="Computational aspects in algebraic geometry">14Q99</a> <a class="mono" href="/classification/?q=cc%3A68W30" title="Symbolic computation and algebraic computation">68W30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1444.13037" data-ciurl="/ci/06722612" data-biburl="/bibtex/06722612.bib" data-amsurl="/amsrefs/06722612.bib" data-xmlurl="/xml/06722612.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06722612.pdf" title="Zbl 1444.13037 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/16M106995X" aria-label="DOI for “Chordal networks of polynomial ideals”" title="10.1137/16M106995X">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1604.02618"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6722038" value="6722038" aria-label="mark item Zbl 1400.62124"></div> <div class="author"><a href="/authors/gross.elizabeth" title="Author Profile">Gross, Elizabeth</a>; <a href="/authors/petrovic.sonja" title="Author Profile">Petrović, Sonja</a>; <a href="/authors/stasi.despina" title="Author Profile">Stasi, Despina</a></div> <h3 class="title"> <a href="/1400.62124"><strong>Goodness of fit for log-linear network models: dynamic Markov bases using hypergraphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1400.62124">Zbl 1400.62124</a> </h3> <div class="source"> <a href="/serials/313" title="Journal Profile">Ann. Inst. Stat. Math.</a> <a href="/?q=in%3A365431" title="Articles in this Issue">69, No. 3, 673-704 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A91D30" title="Social networks; opinion dynamics">91D30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1400.62124" data-ciurl="/ci/06722038" data-biburl="/bibtex/06722038.bib" data-amsurl="/amsrefs/06722038.bib" data-xmlurl="/xml/06722038.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06722038.pdf" title="Zbl 1400.62124 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10463-016-0560-2" aria-label="DOI for “Goodness of fit for log-linear network models: dynamic Markov bases using hypergraphs”" title="10.1007/s10463-016-0560-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1401.4896"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6680416" value="6680416" aria-label="mark item Zbl 1357.65063"></div> <div class="author"><a href="/authors/chen.tianran" title="Author Profile">Chen, Tianran</a>; <a href="/authors/mehta.dhagash" title="Author Profile">Mehta, Dhagash</a></div> <h3 class="title"> <a href="/1357.65063"><strong>Parallel degree computation for binomial systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1357.65063">Zbl 1357.65063</a> </h3> <div class="source"> <a href="/serials/1072" title="Journal Profile">J. Symb. Comput.</a> <a href="/?q=in%3A362782" title="Articles in this Issue">79, Part 3, 535-558 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A65H20" title="Global methods, including homotopy approaches to the numerical solution of nonlinear equations">65H20</a> <a class="mono" href="/classification/?q=cc%3A13P15" title="Solving polynomial systems; resultants">13P15</a> <a class="mono" href="/classification/?q=cc%3A65Y10" title="Numerical algorithms for specific classes of architectures">65Y10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1357.65063" data-ciurl="/ci/06680416" data-biburl="/bibtex/06680416.bib" data-amsurl="/amsrefs/06680416.bib" data-xmlurl="/xml/06680416.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06680416.pdf" title="Zbl 1357.65063 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jsc.2016.07.018" aria-label="DOI for “Parallel degree computation for binomial systems”" title="10.1016/j.jsc.2016.07.018">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6680415" value="6680415" aria-label="mark item Zbl 1365.13047"></div> <div class="author"><a href="/authors/chen.tianran" title="Author Profile">Chen, Tianran</a>; <a href="/authors/lee.tsung-lin" title="Author Profile">Lee, Tsung-Lin</a>; <a href="/authors/li.tien-yien" title="Author Profile">Li, Tien-Yien</a></div> <h3 class="title"> <a href="/1365.13047"><strong>Mixed cell computation in HOM4ps.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1365.13047">Zbl 1365.13047</a> </h3> <div class="source"> <a href="/serials/1072" title="Journal Profile">J. Symb. Comput.</a> <a href="/?q=in%3A362782" title="Articles in this Issue">79, Part 3, 516-534 (2017)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13200">Thomas Kahle (Magdeburg)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P15" title="Solving polynomial systems; resultants">13P15</a> <a class="mono" href="/classification/?q=cc%3A68W10" title="Parallel algorithms in computer science">68W10</a> <a class="mono" href="/classification/?q=cc%3A52B55" title="Computational aspects related to convexity">52B55</a> <a class="mono" href="/classification/?q=cc%3A65Y05" title="Parallel numerical computation">65Y05</a> <a class="mono" href="/classification/?q=cc%3A65Y20" title="Complexity and performance of numerical algorithms">65Y20</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A14Q99" title="Computational aspects in algebraic geometry">14Q99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1365.13047" data-ciurl="/ci/06680415" data-biburl="/bibtex/06680415.bib" data-amsurl="/amsrefs/06680415.bib" data-xmlurl="/xml/06680415.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06680415.pdf" title="Zbl 1365.13047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jsc.2016.07.017" aria-label="DOI for “Mixed cell computation in HOM4ps”" title="10.1016/j.jsc.2016.07.017">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6637718" value="6637718" aria-label="mark item Zbl 1348.05098"></div> <div class="author"><a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a>; <a href="/authors/hibi.takayuki" title="Author Profile">Hibi, Takayuki</a></div> <h3 class="title"> <a href="/1348.05098"><strong>A Gröbner basis characterization for chordal comparability graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1348.05098">Zbl 1348.05098</a> </h3> <div class="source"> <a href="/serials/824" title="Journal Profile">Eur. J. Comb.</a> <a href="/?q=in%3A359675" title="Articles in this Issue">59, 122-128 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C25" title="Graphs and abstract algebra (groups, rings, fields, etc.)">05C25</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A06A07" title="Combinatorics of partially ordered sets">06A07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1348.05098" data-ciurl="/ci/06637718" data-biburl="/bibtex/06637718.bib" data-amsurl="/amsrefs/06637718.bib" data-xmlurl="/xml/06637718.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06637718.pdf" title="Zbl 1348.05098 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ejc.2016.08.004" aria-label="DOI for “A Gröbner basis characterization for chordal comparability graphs”" title="10.1016/j.ejc.2016.08.004">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1602.00285"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7100072" value="7100072" aria-label="mark item Zbl 1420.62334"></div> <div class="author"><a href="/authors/aoki.satoshi" title="Author Profile">Aoki, Satoshi</a>; <a href="/authors/hibi.takayuki" title="Author Profile">Hibi, Takayuki</a>; <a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a></div> <h3 class="title"> <a href="/1420.62334"><strong>Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1420.62334">Zbl 1420.62334</a> </h3> <div class="source"> <a href="/serials/6181" title="Journal Profile">J. Stat. Theory Pract.</a> <a href="/?q=in%3A437862" title="Articles in this Issue">10, No. 1, 59-72 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62K15" title="Factorial statistical designs">62K15</a> <a class="mono" href="/classification/?q=cc%3A62D05" title="Sampling theory, sample surveys">62D05</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1420.62334" data-ciurl="/ci/07100072" data-biburl="/bibtex/07100072.bib" data-amsurl="/amsrefs/07100072.bib" data-xmlurl="/xml/07100072.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07100072.pdf" title="Zbl 1420.62334 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/15598608.2015.1067172" aria-label="DOI for “Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations”" title="10.1080/15598608.2015.1067172">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1502.02323"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6667592" value="6667592" aria-label="mark item Zbl 1375.37179"></div> <div class="author"><a href="/authors/dinwoodie.ian-hepburn" title="Author Profile">Dinwoodie, Ian H.</a></div> <h3 class="title"> <a href="/1375.37179"><strong>Computational methods for asynchronous basins.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1375.37179">Zbl 1375.37179</a> </h3> <div class="source"> <a href="/serials/2839" title="Journal Profile">Discrete Contin. Dyn. Syst., Ser. B</a> <a href="/?q=in%3A361622" title="Articles in this Issue">21, No. 10, 3391-3405 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A37N25" title="Dynamical systems in biology">37N25</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A62M05" title="Markov processes: estimation; hidden Markov models">62M05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1375.37179" data-ciurl="/ci/06667592" data-biburl="/bibtex/06667592.bib" data-amsurl="/amsrefs/06667592.bib" data-xmlurl="/xml/06667592.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06667592.pdf" title="Zbl 1375.37179 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/dcdsb.2016103" aria-label="DOI for “Computational methods for asynchronous basins”" title="10.3934/dcdsb.2016103">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6659022" value="6659022" aria-label="mark item Zbl 1351.13008"></div> <div class="author"><a href="/authors/eser.zekiye-sahin" title="Author Profile">Eser, Zekiye Sahin</a>; <a href="/authors/matusevich.laura-felicia" title="Author Profile">Matusevich, Laura Felicia</a></div> <h3 class="title"> <a href="/1351.13008"><strong>Decompositions of cellular binomial ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1351.13008">Zbl 1351.13008</a> </h3> <div class="source"> <a href="/serials/500" title="Journal Profile">J. Lond. Math. Soc., II. Ser.</a> <a href="/?q=in%3A361000" title="Articles in this Issue">94, No. 2, 409-426 (2016)</a>; corrigendum ibid. 100, No. 2, 717-719 (2019). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13200">Thomas Kahle (Magdeburg)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13C05" title="Structure, classification theorems for modules and ideals in commutative rings">13C05</a> <a class="mono" href="/classification/?q=cc%3A13P99" title="Computational aspects and applications of commutative rings">13P99</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> <a class="mono" href="/classification/?q=cc%3A13F99" title="Arithmetic rings and other special commutative rings">13F99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1351.13008" data-ciurl="/ci/06659022" data-biburl="/bibtex/06659022.bib" data-amsurl="/amsrefs/06659022.bib" data-xmlurl="/xml/06659022.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06659022.pdf" title="Zbl 1351.13008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1112/jlms/jdw012" aria-label="DOI for “Decompositions of cellular binomial ideals”" title="10.1112/jlms/jdw012">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1409.0179"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6549163" value="6549163" aria-label="mark item Zbl 1332.15022"></div> <div class="author"><a href="/authors/abo.hirotachi" title="Author Profile">Abo, Hirotachi</a>; <a href="/authors/eklund.david" title="Author Profile">Eklund, David</a>; <a href="/authors/kahle.thomas" title="Author Profile">Kahle, Thomas</a>; <a href="/authors/peterson.chris" title="Author Profile">Peterson, Chris</a></div> <h3 class="title"> <a href="/1332.15022"><strong>Eigenschemes and the Jordan canonical form.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1332.15022">Zbl 1332.15022</a> </h3> <div class="source"> <a href="/serials/1605" title="Journal Profile">Linear Algebra Appl.</a> <a href="/?q=in%3A353272" title="Articles in this Issue">496, 121-151 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A15A18" title="Eigenvalues, singular values, and eigenvectors">15A18</a> <a class="mono" href="/classification/?q=cc%3A13C40" title="Linkage, complete intersections and determinantal ideals">13C40</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14M12" title="Determinantal varieties">14M12</a> <a class="mono" href="/classification/?q=cc%3A15A21" title="Canonical forms, reductions, classification">15A21</a> <a class="mono" href="/classification/?q=cc%3A15A22" title="Matrix pencils">15A22</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1332.15022" data-ciurl="/ci/06549163" data-biburl="/bibtex/06549163.bib" data-amsurl="/amsrefs/06549163.bib" data-xmlurl="/xml/06549163.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06549163.pdf" title="Zbl 1332.15022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.laa.2015.12.030" aria-label="DOI for “Eigenschemes and the Jordan canonical form”" title="10.1016/j.laa.2015.12.030">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1506.08257"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6499145" value="6499145" aria-label="mark item Zbl 1323.05067"></div> <div class="author"><a href="/authors/tatakis.christos" title="Author Profile">Tatakis, Christos</a></div> <h3 class="title"> <a href="/1323.05067"><strong>Generalized robust toric ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1323.05067">Zbl 1323.05067</a> </h3> <div class="source"> <a href="/serials/518" title="Journal Profile">J. Pure Appl. Algebra</a> <a href="/?q=in%3A349092" title="Articles in this Issue">220, No. 1, 263-277 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C25" title="Graphs and abstract algebra (groups, rings, fields, etc.)">05C25</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A05C38" title="Paths and cycles">05C38</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1323.05067" data-ciurl="/ci/06499145" data-biburl="/bibtex/06499145.bib" data-amsurl="/amsrefs/06499145.bib" data-xmlurl="/xml/06499145.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06499145.pdf" title="Zbl 1323.05067 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jpaa.2015.06.009" aria-label="DOI for “Generalized robust toric ideals”" title="10.1016/j.jpaa.2015.06.009">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1503.00367"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6460694" value="6460694" aria-label="mark item Zbl 1440.62221"></div> <div class="author"><a href="/authors/slavkovic.aleksandra-b" title="Author Profile">Slavković, Aleksandra</a>; <a href="/authors/zhu.xiaotian" title="Author Profile">Zhu, Xiaotian</a>; <a href="/authors/petrovic.sonja" title="Author Profile">Petrović, Sonja</a></div> <h3 class="title"> <a href="/1440.62221"><strong>Fibers of multi-way contingency tables given conditionals: relation to marginals, cell bounds and Markov bases.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.62221">Zbl 1440.62221</a> </h3> <div class="source"> <a href="/serials/313" title="Journal Profile">Ann. Inst. Stat. Math.</a> <a href="/?q=in%3A346293" title="Articles in this Issue">67, No. 4, 621-648 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A62-08" title="Computational methods for problems pertaining to statistics">62-08</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.62221" data-ciurl="/ci/06460694" data-biburl="/bibtex/06460694.bib" data-amsurl="/amsrefs/06460694.bib" data-xmlurl="/xml/06460694.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06460694.pdf" title="Zbl 1440.62221 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10463-014-0471-z" aria-label="DOI for “Fibers of multi-way contingency tables given conditionals: relation to marginals, cell bounds and Markov bases”" title="10.1007/s10463-014-0471-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1401.1397"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6446971" value="6446971" aria-label="mark item Zbl 1435.13022"></div> <div class="author"><a href="/authors/dali.alessio" title="Author Profile">D&rsquo;Alì, Alessio</a></div> <h3 class="title"> <a href="/1435.13022"><strong>Toric ideals associated with gap-free graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1435.13022">Zbl 1435.13022</a> </h3> <div class="source"> <a href="/serials/518" title="Journal Profile">J. Pure Appl. Algebra</a> <a href="/?q=in%3A345269" title="Articles in this Issue">219, No. 9, 3862-3872 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F65" title="Commutative rings defined by binomial ideals, toric rings, etc.">13F65</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1435.13022" data-ciurl="/ci/06446971" data-biburl="/bibtex/06446971.bib" data-amsurl="/amsrefs/06446971.bib" data-xmlurl="/xml/06446971.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06446971.pdf" title="Zbl 1435.13022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jpaa.2014.12.025" aria-label="DOI for “Toric ideals associated with gap-free graphs”" title="10.1016/j.jpaa.2014.12.025">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1406.6634"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6399618" value="6399618" aria-label="mark item Zbl 1312.13014"></div> <div class="author"><a href="/authors/kahle.thomas" title="Author Profile">Kahle, Thomas</a>; <a href="/authors/rauh.johannes" title="Author Profile">Rauh, Johannes</a></div> <h3 class="title"> <a href="/1312.13014"><strong>Toric fiber products versus Segre products.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1312.13014">Zbl 1312.13014</a> </h3> <div class="source"> <a href="/serials/272" title="Journal Profile">Abh. Math. Semin. Univ. Hamb.</a> <a href="/?q=in%3A337484" title="Articles in this Issue">84, No. 2, 187-201 (2014)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14169">Yi-Huang Shen (Hefei)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13C05" title="Structure, classification theorems for modules and ideals in commutative rings">13C05</a> <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A13A02" title="Graded rings">13A02</a> <a class="mono" href="/classification/?q=cc%3A20M25" title="Semigroup rings, multiplicative semigroups of rings">20M25</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1312.13014" data-ciurl="/ci/06399618" data-biburl="/bibtex/06399618.bib" data-amsurl="/amsrefs/06399618.bib" data-xmlurl="/xml/06399618.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06399618.pdf" title="Zbl 1312.13014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s12188-014-0095-5" aria-label="DOI for “Toric fiber products versus Segre products”" title="10.1007/s12188-014-0095-5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1307.4029"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6309525" value="6309525" aria-label="mark item Zbl 1314.13049"></div> <div class="author"><a href="/authors/engstrom.alexander" title="Author Profile">Engström, Alexander</a>; <a href="/authors/kahle.thomas" title="Author Profile">Kahle, Thomas</a>; <a href="/authors/sullivant.seth" title="Author Profile">Sullivant, Seth</a></div> <h3 class="title"> <a href="/1314.13049"><strong>Multigraded commutative algebra of graph decompositions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1314.13049">Zbl 1314.13049</a> </h3> <div class="source"> <a href="/serials/1828" title="Journal Profile">J. Algebr. Comb.</a> <a href="/?q=in%3A329419" title="Articles in this Issue">39, No. 2, 335-372 (2014)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14860">Michael R. DiPasquale (Urbana)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A05E40" title="Combinatorial aspects of commutative algebra">05E40</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1314.13049" data-ciurl="/ci/06309525" data-biburl="/bibtex/06309525.bib" data-amsurl="/amsrefs/06309525.bib" data-xmlurl="/xml/06309525.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06309525.pdf" title="Zbl 1314.13049 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10801-013-0450-0" aria-label="DOI for “Multigraded commutative algebra of graph decompositions”" title="10.1007/s10801-013-0450-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1102.2601"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6249394" value="6249394" aria-label="mark item Zbl 1282.13025"></div> <div class="author"><a href="/authors/barucci.valentina" title="Author Profile">Barucci, Valentina</a>; <a href="/authors/froberg.ralf" title="Author Profile">Fröberg, Ralf</a>; <a href="/authors/sahin.mesut" title="Author Profile">Şahin, Mesut</a></div> <h3 class="title"> <a href="/1282.13025"><strong>On free resolutions of some semigroup rings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1282.13025">Zbl 1282.13025</a> </h3> <div class="source"> <a href="/serials/518" title="Journal Profile">J. Pure Appl. Algebra</a> <a href="/?q=in%3A328593" title="Articles in this Issue">218, No. 6, 1107-1116 (2014)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14028">Nikolay I. Kryuchkov (Ryazan)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A16S36" title="Ordinary and skew polynomial rings and semigroup rings">16S36</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1282.13025" data-ciurl="/ci/06249394" data-biburl="/bibtex/06249394.bib" data-amsurl="/amsrefs/06249394.bib" data-xmlurl="/xml/06249394.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06249394.pdf" title="Zbl 1282.13025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jpaa.2013.11.007" aria-label="DOI for “On free resolutions of some semigroup rings”" title="10.1016/j.jpaa.2013.11.007">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1211.4747"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6736980" value="6736980" aria-label="mark item Zbl 1365.62213"></div> <div class="author"><a href="/authors/takemura.akimichi" title="Author Profile">Takemura, Akimichi</a>; <a href="/authors/hara.hisayuki" title="Author Profile">Hara, Hisayuki</a></div> <h3 class="title"> <a href="/1365.62213"><strong>Markov chain Monte Carlo test of toric homogeneous Markov chains.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1365.62213">Zbl 1365.62213</a> </h3> <div class="source"> <a href="/serials/3332" title="Journal Profile">Stat. Methodol.</a> <a href="/?q=in%3A295817" title="Articles in this Issue">9, No. 3, 392-406 (2012)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> <a class="mono" href="/classification/?q=cc%3A60J10" title="Markov chains (discrete-time Markov processes on discrete state spaces)">60J10</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1365.62213" data-ciurl="/ci/06736980" data-biburl="/bibtex/06736980.bib" data-amsurl="/amsrefs/06736980.bib" data-xmlurl="/xml/06736980.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06736980.pdf" title="Zbl 1365.62213 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.stamet.2011.10.004" aria-label="DOI for “Markov chain Monte Carlo test of toric homogeneous Markov chains”" title="10.1016/j.stamet.2011.10.004">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1004.3599"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6119068" value="6119068" aria-label="mark item Zbl 1286.13028"></div> <div class="author"><a href="/authors/maruri-aguilar.hugo" title="Author Profile">Maruri-Aguilar, Hugo</a>; <a href="/authors/saenz-de-cabezon.eduardo" title="Author Profile">Sáenz-de-Cabezón, Eduardo</a>; <a href="/authors/wynn.henry-p" title="Author Profile">Wynn, Henry P.</a></div> <h3 class="title"> <a href="/1286.13028"><strong>Betti numbers of polynomial hierarchical models for experimental designs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1286.13028">Zbl 1286.13028</a> </h3> <div class="source"> <a href="/serials/2122" title="Journal Profile">Ann. Math. Artif. Intell.</a> <a href="/?q=in%3A302853" title="Articles in this Issue">64, No. 4, 411-426 (2012)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13242">Amol Sasane (Lund)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A68W30" title="Symbolic computation and algebraic computation">68W30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1286.13028" data-ciurl="/ci/06119068" data-biburl="/bibtex/06119068.bib" data-amsurl="/amsrefs/06119068.bib" data-xmlurl="/xml/06119068.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06119068.pdf" title="Zbl 1286.13028 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10472-012-9295-9" aria-label="DOI for “Betti numbers of polynomial hierarchical models for experimental designs”" title="10.1007/s10472-012-9295-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://qmro.qmul.ac.uk/xmlui/handle/123456789/86024" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6117975" value="6117975" aria-label="mark item Zbl 1254.90108"></div> <div class="author"><a href="/authors/de-loera.jesus-a" title="Author Profile">De Loera, Jesús A.</a>; <a href="/authors/sturmfels.bernd" title="Author Profile">Sturmfels, Bernd</a>; <a href="/authors/vinzant.cynthia" title="Author Profile">Vinzant, Cynthia</a></div> <h3 class="title"> <a href="/1254.90108"><strong>The central curve in linear programming.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1254.90108">Zbl 1254.90108</a> </h3> <div class="source"> <a href="/serials/2835" title="Journal Profile">Found. Comput. Math.</a> <a href="/?q=in%3A304819" title="Articles in this Issue">12, No. 4, 509-540 (2012)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A90C05" title="Linear programming">90C05</a> <a class="mono" href="/classification/?q=cc%3A05B35" title="Combinatorial aspects of matroids and geometric lattices">05B35</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A14H45" title="Special algebraic curves and curves of low genus">14H45</a> <a class="mono" href="/classification/?q=cc%3A52C35" title="Arrangements of points, flats, hyperplanes (aspects of discrete geometry)">52C35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1254.90108" data-ciurl="/ci/06117975" data-biburl="/bibtex/06117975.bib" data-amsurl="/amsrefs/06117975.bib" data-xmlurl="/xml/06117975.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06117975.pdf" title="Zbl 1254.90108 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10208-012-9127-7" aria-label="DOI for “The central curve in linear programming”" title="10.1007/s10208-012-9127-7">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1012.3978"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6152621" value="6152621" aria-label="mark item Zbl 1273.13052"></div> <div class="author"><a href="/authors/bruns.winfried" title="Author Profile">Bruns, Winfried</a>; <a href="/authors/hemmecke.raymond" title="Author Profile">Hemmecke, Raymond</a>; <a href="/authors/ichim.bogdan" title="Author Profile">Ichim, Bogdan</a>; <a href="/authors/koppe.matthias" title="Author Profile">Köppe, Matthias</a>; <a href="/authors/soger.christof" title="Author Profile">Söger, Christof</a></div> <h3 class="title"> <a href="/1273.13052"><strong>Challenging computations of Hilbert bases of cones associated with algebraic statistics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1273.13052">Zbl 1273.13052</a> </h3> <div class="source"> <a href="/serials/1825" title="Journal Profile">Exp. Math.</a> <a href="/?q=in%3A299374" title="Articles in this Issue">20, No. 1, 25-33 (2011)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> <a class="mono" href="/classification/?q=cc%3A14C05" title="Parametrization (Chow and Hilbert schemes)">14C05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1273.13052" data-ciurl="/ci/06152621" data-biburl="/bibtex/06152621.bib" data-amsurl="/amsrefs/06152621.bib" data-xmlurl="/xml/06152621.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06152621.pdf" title="Zbl 1273.13052 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/10586458.2011.544574" aria-label="DOI for “Challenging computations of Hilbert bases of cones associated with algebraic statistics”" title="10.1080/10586458.2011.544574">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1001.4145"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/euclid.em/1317924388" title="Full Text at Project Euclid">Euclid</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6000130" value="6000130" aria-label="mark item Zbl 1242.13024"></div> <div class="author"><a href="/authors/ojeda-martinez-de-castilla.ignacio" title="Author Profile">Ojeda, Ignacio</a></div> <h3 class="title"> <a href="/1242.13024"><strong>Binomial canonical decompositions of binomial ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1242.13024">Zbl 1242.13024</a> </h3> <div class="source"> <a href="/serials/57" title="Journal Profile">Commun. Algebra</a> <a href="/?q=in%3A290229" title="Articles in this Issue">39, No. 10, 3722-3735 (2011)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13267">Anda-Georgina Olteanu (Constanta)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A13P99" title="Computational aspects and applications of commutative rings">13P99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1242.13024" data-ciurl="/ci/06000130" data-biburl="/bibtex/06000130.bib" data-amsurl="/amsrefs/06000130.bib" data-xmlurl="/xml/06000130.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06000130.pdf" title="Zbl 1242.13024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/00927872.2010.511923" aria-label="DOI for “Binomial canonical decompositions of binomial ideals”" title="10.1080/00927872.2010.511923">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1003.1701"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5879829" value="5879829" aria-label="mark item Zbl 1211.13018"></div> <div class="author"><a href="/authors/brouwer.andries-e" title="Author Profile">Brouwer, Andries E.</a>; <a href="/authors/draisma.jan" title="Author Profile">Draisma, Jan</a></div> <h3 class="title"> <a href="/1211.13018"><strong>Equivariant Gröbner bases and the Gaussian two-factor model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1211.13018">Zbl 1211.13018</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A276806" title="Articles in this Issue">80, No. 274, 1123-1133 (2011)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A16W22" title="Actions of groups and semigroups; invariant theory (associative rings and algebras)">16W22</a> <a class="mono" href="/classification/?q=cc%3A62H25" title="Factor analysis and principal components; correspondence analysis">62H25</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1211.13018" data-ciurl="/ci/05879829" data-biburl="/bibtex/05879829.bib" data-amsurl="/amsrefs/05879829.bib" data-xmlurl="/xml/05879829.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05879829.pdf" title="Zbl 1211.13018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-2010-02415-9" aria-label="DOI for “Equivariant Gröbner bases and the Gaussian two-factor model”" title="10.1090/S0025-5718-2010-02415-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0908.1530"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6542683" value="6542683" aria-label="mark item Zbl 1440.62304"></div> <div class="author"><a href="/authors/berstein.yael" title="Author Profile">Berstein, Yael</a>; <a href="/authors/maruri-aguilar.hugo" title="Author Profile">Maruri-Aguilar, Hugo</a>; <a href="/authors/onn.shmuel" title="Author Profile">Onn, Shmuel</a>; <a href="/authors/riccomagno.eva" title="Author Profile">Riccomagno, Eva</a>; <a href="/authors/wynn.henry-p" title="Author Profile">Wynn, Henry</a></div> <h3 class="title"> <a href="/1440.62304"><strong>Minimal average degree aberration and the state polytope for experimental designs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.62304">Zbl 1440.62304</a> </h3> <div class="source"> <a href="/serials/313" title="Journal Profile">Ann. Inst. Stat. Math.</a> <a href="/?q=in%3A262793" title="Articles in this Issue">62, No. 4, 673-698 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62K15" title="Factorial statistical designs">62K15</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.62304" data-ciurl="/ci/06542683" data-biburl="/bibtex/06542683.bib" data-amsurl="/amsrefs/06542683.bib" data-xmlurl="/xml/06542683.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06542683.pdf" title="Zbl 1440.62304 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10463-010-0291-8" aria-label="DOI for “Minimal average degree aberration and the state polytope for experimental designs”" title="10.1007/s10463-010-0291-8">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0808.3055"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://qmro.qmul.ac.uk/xmlui/handle/123456789/85888" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6531038" value="6531038" aria-label="mark item Zbl 1440.62219"></div> <div class="author"><a href="/authors/aoki.satoshi" title="Author Profile">Aoki, Satoshi</a>; <a href="/authors/hibi.takayuki" title="Author Profile">Hibi, Takayuki</a>; <a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a>; <a href="/authors/takemura.akimichi" title="Author Profile">Takemura, Akimichi</a></div> <h3 class="title"> <a href="/1440.62219"><strong>Markov basis and Gröbner basis of Segre-Veronese configuration for testing independence in group-wise selections.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1440.62219">Zbl 1440.62219</a> </h3> <div class="source"> <a href="/serials/313" title="Journal Profile">Ann. Inst. Stat. Math.</a> <a href="/?q=in%3A259093" title="Articles in this Issue">62, No. 2, 299-321 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A62-08" title="Computational methods for problems pertaining to statistics">62-08</a> <a class="mono" href="/classification/?q=cc%3A62P10" title="Applications of statistics to biology and medical sciences; meta analysis">62P10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1440.62219" data-ciurl="/ci/06531038" data-biburl="/bibtex/06531038.bib" data-amsurl="/amsrefs/06531038.bib" data-xmlurl="/xml/06531038.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06531038.pdf" title="Zbl 1440.62219 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10463-008-0171-7" aria-label="DOI for “Markov basis and Gröbner basis of Segre-Veronese configuration for testing independence in group-wise selections”" title="10.1007/s10463-008-0171-7">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0704.1074"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6030493" value="6030493" aria-label="mark item Zbl 1237.13053"></div> <div class="author"><a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a>; <a href="/authors/hibi.takayuki" title="Author Profile">Hibi, Takayuki</a></div> <h3 class="title"> <a href="/1237.13053"><strong>Toric rings and ideals of nested configurations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1237.13053">Zbl 1237.13053</a> </h3> <div class="source"> <a href="/serials/6654" title="Journal Profile">J. Commut. Algebra</a> <a href="/?q=in%3A299218" title="Articles in this Issue">2, No. 2, 187-208 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A52B20" title="Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)">52B20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1237.13053" data-ciurl="/ci/06030493" data-biburl="/bibtex/06030493.bib" data-amsurl="/amsrefs/06030493.bib" data-xmlurl="/xml/06030493.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06030493.pdf" title="Zbl 1237.13053 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1216/JCA-2010-2-2-187" aria-label="DOI for “Toric rings and ideals of nested configurations”" title="10.1216/JCA-2010-2-2-187">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0907.3253"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/euclid.jca/1275403637" title="Full Text at Project Euclid">Euclid</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5833184" value="5833184" aria-label="mark item Zbl 1204.13014"></div> <div class="author"><a href="/authors/ojeda-martinez-de-castilla.ignacio" title="Author Profile">Ojeda, Ignacio</a>; <a href="/authors/vigneron-tenorio.alberto" title="Author Profile">Vigneron-Tenorio, Alberto</a></div> <h3 class="title"> <a href="/1204.13014"><strong>Indispensable binomials in semigroup ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1204.13014">Zbl 1204.13014</a> </h3> <div class="source"> <a href="/serials/623" title="Journal Profile">Proc. Am. Math. Soc.</a> <a href="/?q=in%3A271661" title="Articles in this Issue">138, No. 12, 4205-4216 (2010)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A12297">Eduardo Saenz-de-Cabezon (Logroño)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A16W50" title="Graded rings and modules (associative rings and algebras)">16W50</a> <a class="mono" href="/classification/?q=cc%3A13F55" title="Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes">13F55</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1204.13014" data-ciurl="/ci/05833184" data-biburl="/bibtex/05833184.bib" data-amsurl="/amsrefs/05833184.bib" data-xmlurl="/xml/05833184.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05833184.pdf" title="Zbl 1204.13014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0002-9939-2010-10456-2" aria-label="DOI for “Indispensable binomials in semigroup ideals”" title="10.1090/S0002-9939-2010-10456-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0903.1030"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5696904" value="5696904" aria-label="mark item Zbl 1194.13016"></div> <div class="author"><a href="/authors/charalambous.hara" title="Author Profile">Charalambous, Hara</a>; <a href="/authors/thoma.apostolos" title="Author Profile">Thoma, Apostolos</a></div> <h3 class="title"> <a href="/1194.13016"><strong>On the generalized Scarf complex of lattice ideals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1194.13016">Zbl 1194.13016</a> </h3> <div class="source"> <a href="/serials/473" title="Journal Profile">J. Algebra</a> <a href="/?q=in%3A259370" title="Articles in this Issue">323, No. 5, 1197-1211 (2010)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A5938">Marcel Morales (Saint-Martin-d&rsquo;Heres)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13D02" title="Syzygies, resolutions, complexes and commutative rings">13D02</a> <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1194.13016" data-ciurl="/ci/05696904" data-biburl="/bibtex/05696904.bib" data-amsurl="/amsrefs/05696904.bib" data-xmlurl="/xml/05696904.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05696904.pdf" title="Zbl 1194.13016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jalgebra.2009.12.019" aria-label="DOI for “On the generalized Scarf complex of lattice ideals”" title="10.1016/j.jalgebra.2009.12.019">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0901.1208"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5643963" value="5643963" aria-label="mark item Zbl 1211.13020"></div> <div class="author"><a href="/authors/draisma.jan" title="Author Profile">Draisma, Jan</a></div> <h3 class="title"> <a href="/1211.13020"><strong>Finiteness for the \(k\)-factor model and chirality varieties.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1211.13020">Zbl 1211.13020</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A256226" title="Articles in this Issue">223, No. 1, 243-256 (2010)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A11797">Luis David Garcia Puente (Huntsville)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A14M12" title="Determinantal varieties">14M12</a> <a class="mono" href="/classification/?q=cc%3A62H25" title="Factor analysis and principal components; correspondence analysis">62H25</a> <a class="mono" href="/classification/?q=cc%3A14M15" title="Grassmannians, Schubert varieties, flag manifolds">14M15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1211.13020" data-ciurl="/ci/05643963" data-biburl="/bibtex/05643963.bib" data-amsurl="/amsrefs/05643963.bib" data-xmlurl="/xml/05643963.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05643963.pdf" title="Zbl 1211.13020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2009.08.008" aria-label="DOI for “Finiteness for the \(k\)-factor model and chirality varieties”" title="10.1016/j.aim.2009.08.008">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0811.3503"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6493851" value="6493851" aria-label="mark item Zbl 1433.62014"></div> <div class="author"><a href="/authors/riccomagno.eva" title="Author Profile">Riccomagno, Eva</a></div> <h3 class="title"> <a href="/1433.62014"><strong>A short history of algebraic statistics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1433.62014">Zbl 1433.62014</a> </h3> <div class="source"> <a href="/serials/162" title="Journal Profile">Metrika</a> <a href="/?q=in%3A253776" title="Articles in this Issue">69, No. 2-3, 397-418 (2009)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A62-03" title="History of statistics">62-03</a> <a class="mono" href="/classification/?q=cc%3A62R01" title="Algebraic statistics">62R01</a> <a class="mono" href="/classification/?q=cc%3A62K15" title="Factorial statistical designs">62K15</a> <a class="mono" href="/classification/?q=cc%3A13P25" title="Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)">13P25</a> <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1433.62014" data-ciurl="/ci/06493851" data-biburl="/bibtex/06493851.bib" data-amsurl="/amsrefs/06493851.bib" data-xmlurl="/xml/06493851.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06493851.pdf" title="Zbl 1433.62014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00184-008-0222-3" aria-label="DOI for “A short history of algebraic statistics”" title="10.1007/s00184-008-0222-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://wrap.warwick.ac.uk/35494/1/WRAP_Riccomagno_08-21w.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5365181" value="5365181" aria-label="mark item Zbl 1152.14047"></div> <div class="author"><a href="/authors/aoki.satoshi" title="Author Profile">Aoki, Satoshi</a>; <a href="/authors/hibi.takayuki" title="Author Profile">Hibi, Takayuki</a>; <a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a>; <a href="/authors/takemura.akimichi" title="Author Profile">Takemura, Akimichi</a></div> <h3 class="title"> <a href="/1152.14047"><strong>Gröbner bases of nested configurations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1152.14047">Zbl 1152.14047</a> </h3> <div class="source"> <a href="/serials/473" title="Journal Profile">J. Algebra</a> <a href="/?q=in%3A230213" title="Articles in this Issue">320, No. 6, 2583-2593 (2008)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A12035">Morgan Sherman (San Luis Obispo)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A14N20" title="Configurations and arrangements of linear subspaces">14N20</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1152.14047" data-ciurl="/ci/05365181" data-biburl="/bibtex/05365181.bib" data-amsurl="/amsrefs/05365181.bib" data-xmlurl="/xml/05365181.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05365181.pdf" title="Zbl 1152.14047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jalgebra.2008.05.023" aria-label="DOI for “Gröbner bases of nested configurations”" title="10.1016/j.jalgebra.2008.05.023">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0801.0929"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5300762" value="5300762" aria-label="mark item Zbl 1170.13008"></div> <div class="author"><a href="/authors/aoki.satoshi" title="Author Profile">Aoki, Satoshi</a>; <a href="/authors/takemura.akimichi" title="Author Profile">Takemura, Akimichi</a>; <a href="/authors/yoshida.ruriko" title="Author Profile">Yoshida, Ruriko</a></div> <h3 class="title"> <a href="/1170.13008"><strong>Indispensable monomials of toric ideals and Markov bases.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1170.13008">Zbl 1170.13008</a> </h3> <div class="source"> <a href="/serials/1072" title="Journal Profile">J. Symb. Comput.</a> <a href="/?q=in%3A218769" title="Articles in this Issue">43, No. 6-7, 490-507 (2008)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F55" title="Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes">13F55</a> <a class="mono" href="/classification/?q=cc%3A13P10" title="Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)">13P10</a> <a class="mono" href="/classification/?q=cc%3A62H17" title="Contingency tables">62H17</a> <a class="mono" href="/classification/?q=cc%3A05C90" title="Applications of graph theory">05C90</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1170.13008" data-ciurl="/ci/05300762" data-biburl="/bibtex/05300762.bib" data-amsurl="/amsrefs/05300762.bib" data-xmlurl="/xml/05300762.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05300762.pdf" title="Zbl 1170.13008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jsc.2007.07.012" aria-label="DOI for “Indispensable monomials of toric ideals and Markov bases”" title="10.1016/j.jsc.2007.07.012">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0511290"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5196053" value="5196053" aria-label="mark item Zbl 1127.13018"></div> <div class="author"><a href="/authors/charalambous.hara" title="Author Profile">Charalambous, Hara</a>; <a href="/authors/katsabekis.anargyros" title="Author Profile">Katsabekis, Anargyros</a>; <a href="/authors/thoma.apostolos" title="Author Profile">Thoma, Apostolos</a></div> <h3 class="title"> <a href="/1127.13018"><strong>Minimal systems of binomial generators and the indispensable complex of a toric ideal.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1127.13018">Zbl 1127.13018</a> </h3> <div class="source"> <a href="/serials/623" title="Journal Profile">Proc. Am. Math. Soc.</a> <a href="/?q=in%3A211927" title="Articles in this Issue">135, No. 11, 3443-3451 (2007)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A5938">Marcel Morales (Saint-Martin-d&rsquo;Heres)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A05C99" title="Graph theory">05C99</a> <a class="mono" href="/classification/?q=cc%3A14M25" title="Toric varieties, Newton polyhedra, Okounkov bodies">14M25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1127.13018" data-ciurl="/ci/05196053" data-biburl="/bibtex/05196053.bib" data-amsurl="/amsrefs/05196053.bib" data-xmlurl="/xml/05196053.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05196053.pdf" title="Zbl 1127.13018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0002-9939-07-09037-5" aria-label="DOI for “Minimal systems of binomial generators and the indispensable complex of a toric ideal”" title="10.1090/S0002-9939-07-09037-5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0607249"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item2226290" value="2226290" aria-label="mark item Zbl 1093.13020"></div> <div class="author"><a href="/authors/ohsugi.hidefumi" title="Author Profile">Ohsugi, Hidefumi</a>; <a href="/authors/hibi.takayuki" title="Author Profile">Hibi, Takayuki</a></div> <h3 class="title"> <a href="/1093.13020"><strong>Indispensable binomials of finite graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1093.13020">Zbl 1093.13020</a> </h3> <div class="source"> <a href="/serials/3089" title="Journal Profile">J. Algebra Appl.</a> <a href="/?q=in%3A119396" title="Articles in this Issue">4, No. 4, 421-434 (2005)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10646">Marius Tarnauceanu (Iaşi)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13F20" title="Polynomial rings and ideals; rings of integer-valued polynomials">13F20</a> <a class="mono" href="/classification/?q=cc%3A13F55" title="Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes">13F55</a> <a class="mono" href="/classification/?q=cc%3A05C90" title="Applications of graph theory">05C90</a> <a class="mono" href="/classification/?q=cc%3A05C38" title="Paths and cycles">05C38</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> 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</div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1093.13020" data-ciurl="/ci/02226290" data-biburl="/bibtex/02226290.bib" data-amsurl="/amsrefs/02226290.bib" data-xmlurl="/xml/02226290.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02226290.pdf" title="Zbl 1093.13020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0219498805001265" aria-label="DOI for “Indispensable binomials of finite graphs”" title="10.1142/S0219498805001265">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by 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