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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. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). 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>. The <strong>and-operator &amp;</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b &amp; au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; 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Algebra. Chapter 8. Translated from the 2nd French edition by Reinie Erné.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1515.16002">Zbl 1515.16002</a> </h3> <div class="source"> Cham: Springer (ISBN 978-3-031-19292-0/hbk; 978-3-031-19295-1/pbk; 978-3-031-19293-7/ebook). xviii, 490&nbsp;p. (2023). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A16-02" title="Research exposition (monographs, survey articles) pertaining to associative rings and algebras">16-02</a> <a class="mono" href="/classification/?q=cc%3A01A75" title="Collected or selected works; reprintings or translations of classics">01A75</a> <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A16P20" title="Artinian rings and modules (associative rings and algebras)">16P20</a> <a class="mono" href="/classification/?q=cc%3A16P40" title="Noetherian rings and modules (associative rings and algebras)">16P40</a> <a class="mono" href="/classification/?q=cc%3A16D60" title="Simple and semisimple modules, primitive rings and ideals in associative algebras">16D60</a> <a class="mono" href="/classification/?q=cc%3A16N20" title="Jacobson radical, quasimultiplication">16N20</a> <a class="mono" href="/classification/?q=cc%3A16K50" title="Brauer groups (algebraic aspects)">16K50</a> <a class="mono" href="/classification/?q=cc%3A16E20" title="Grothendieck groups, \(K\)-theory, etc.">16E20</a> <a class="mono" href="/classification/?q=cc%3A16D90" title="Module categories in associative algebras">16D90</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 1515.16002" data-ciurl="/ci/07613275" data-biburl="/bibtex/07613275.bib" data-amsurl="/amsrefs/07613275.bib" data-xmlurl="/xml/07613275.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07613275.pdf" title="Zbl 1515.16002 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/10.1007/978-3-031-19293-7" aria-label="DOI for “Elements of mathematics. Algebra. Chapter 8. Translated from the 2nd French edition by Reinie Erné”" title="10.1007/978-3-031-19293-7">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="item5948094" value="5948094" aria-label="mark item Zbl 1245.16001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, N.</a></div> <h3 class="title"> <a href="/1245.16001"><strong>Elements of mathematics. Algebra. Chapter 8. Modules and semi-simple rings. 2nd revised ed. of the 1958 original. (Éléments de mathématique. Algèbre. Chapitre 8. Modules et anneaux semi-simples.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1245.16001">Zbl 1245.16001</a> </h3> <div class="source"> Berlin: Springer (ISBN 978-3-540-35315-7/pbk; 978-3-540-35316-4/ebook). x, 489&nbsp;p. (2012). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A16-02" title="Research exposition (monographs, survey articles) pertaining to associative rings and algebras">16-02</a> <a class="mono" href="/classification/?q=cc%3A01A75" title="Collected or selected works; reprintings or translations of classics">01A75</a> <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A16P20" title="Artinian rings and modules (associative rings and algebras)">16P20</a> <a class="mono" href="/classification/?q=cc%3A16P40" title="Noetherian rings and modules (associative rings and algebras)">16P40</a> <a class="mono" href="/classification/?q=cc%3A16D60" title="Simple and semisimple modules, primitive rings and ideals in associative algebras">16D60</a> <a class="mono" href="/classification/?q=cc%3A16N20" title="Jacobson radical, quasimultiplication">16N20</a> <a class="mono" href="/classification/?q=cc%3A16K50" title="Brauer groups (algebraic aspects)">16K50</a> <a class="mono" href="/classification/?q=cc%3A16E20" title="Grothendieck groups, \(K\)-theory, etc.">16E20</a> <a class="mono" href="/classification/?q=cc%3A16D90" title="Module categories in associative algebras">16D90</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 1245.16001" data-ciurl="/ci/05948094" data-biburl="/bibtex/05948094.bib" data-amsurl="/amsrefs/05948094.bib" data-xmlurl="/xml/05948094.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05948094.pdf" title="Zbl 1245.16001 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/10.1007/978-3-540-35316-4" aria-label="DOI for “Elements of mathematics. Algebra. Chapter 8. Modules and semi-simple rings.”" title="10.1007/978-3-540-35316-4">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="item5080654" value="5080654" aria-label="mark item Zbl 1105.18001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1105.18001"><strong>Elements of mathematics. Algebra. Chapter 10. Homological algebra. Reprint of the 1980 original. (Éléments de mathématique. Algèbre. Chapitre 10. Algèbre homologique.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1105.18001">Zbl 1105.18001</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-34492-6/pbk). 216&nbsp;p. (2007). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A18-02" title="Research exposition (monographs, survey articles) pertaining to category theory">18-02</a> <a class="mono" href="/classification/?q=cc%3A18Gxx" title="Homological algebra in category theory, derived categories and functors">18Gxx</a> <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A01A72" title="Schools of mathematics">01A72</a> <a class="mono" href="/classification/?q=cc%3A01A75" title="Collected or selected works; reprintings or translations of classics">01A75</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 1105.18001" data-ciurl="/ci/05080654" data-biburl="/bibtex/05080654.bib" data-amsurl="/amsrefs/05080654.bib" data-xmlurl="/xml/05080654.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05080654.pdf" title="Zbl 1105.18001 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/10.1007/978-3-540-34493-3" aria-label="DOI for “Elements of mathematics. Algebra. Chapter 10. Homological algebra”" title="10.1007/978-3-540-34493-3">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="item5080024" value="5080024" aria-label="mark item Zbl 1107.13002"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1107.13002"><strong>Elements of mathematics. Commutative algebra. Chapter 10. Reprint of the 1998 original. (Éléments de mathématique. Algèbre commutative. Chapitre 10.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1107.13002">Zbl 1107.13002</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-34394-6/pbk). 191&nbsp;p. (2007). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</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%3A13C15" title="Dimension theory, depth, related commutative rings (catenary, etc.)">13C15</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%3A13D05" title="Homological dimension and commutative rings">13D05</a> <a class="mono" href="/classification/?q=cc%3A13D45" title="Local cohomology and commutative rings">13D45</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 1107.13002" data-ciurl="/ci/05080024" data-biburl="/bibtex/05080024.bib" data-amsurl="/amsrefs/05080024.bib" data-xmlurl="/xml/05080024.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05080024.pdf" title="Zbl 1107.13002 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/10.1007/978-3-540-34395-0" aria-label="DOI for “Elements of mathematics. Commutative algebra. Chapter 10”" title="10.1007/978-3-540-34395-0">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="item5069377" value="5069377" aria-label="mark item Zbl 1107.13001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1107.13001"><strong>Elements of mathematics. Algebra. Chapter 9. Reprint of the 1959 original. (Éléments de mathématique. Algèbre. Chapitre 9.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1107.13001">Zbl 1107.13001</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-35338-0/pbk). 211&nbsp;p. (2007). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</a> <a class="mono" href="/classification/?q=cc%3A11-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory">11-01</a> <a class="mono" href="/classification/?q=cc%3A15-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra">15-01</a> <a class="mono" href="/classification/?q=cc%3A11E04" title="Quadratic forms over general fields">11E04</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%3A15A63" title="Quadratic and bilinear forms, inner products">15A63</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 1107.13001" data-ciurl="/ci/05069377" data-biburl="/bibtex/05069377.bib" data-amsurl="/amsrefs/05069377.bib" data-xmlurl="/xml/05069377.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05069377.pdf" title="Zbl 1107.13001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item5069336" value="5069336" aria-label="mark item Zbl 1139.12001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1139.12001"><strong>Elements of mathematics. Algebra. Chapters 4&ndash;7. Reprint of the 1981 original. (Éléments de mathématique. Algèbre. Chapitres 4 à 7.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1139.12001">Zbl 1139.12001</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-34398-9/pbk). vii, 422&nbsp;p. (2007). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A12-02" title="Research exposition (monographs, survey articles) pertaining to field theory">12-02</a> <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A01A72" title="Schools of mathematics">01A72</a> <a class="mono" href="/classification/?q=cc%3A12Fxx" title="Field extensions">12Fxx</a> <a class="mono" href="/classification/?q=cc%3A13F10" title="Principal ideal rings">13F10</a> <a class="mono" href="/classification/?q=cc%3A13C10" title="Projective and free modules and ideals in commutative rings">13C10</a> <a class="mono" href="/classification/?q=cc%3A12E05" title="Polynomials in general fields (irreducibility, etc.)">12E05</a> <a class="mono" href="/classification/?q=cc%3A06F15" title="Ordered groups">06F15</a> <a class="mono" href="/classification/?q=cc%3A05E05" title="Symmetric functions and generalizations">05E05</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 1139.12001" data-ciurl="/ci/05069336" data-biburl="/bibtex/05069336.bib" data-amsurl="/amsrefs/05069336.bib" data-xmlurl="/xml/05069336.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05069336.pdf" title="Zbl 1139.12001 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/10.1007/978-3-540-34499-5" aria-label="DOI for “Elements of mathematics. Algebra. Chapters 4--7”" title="10.1007/978-3-540-34499-5">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="item5069335" value="5069335" aria-label="mark item Zbl 1111.00001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1111.00001"><strong>Elements of mathematics. Algebra. Chapters 1&ndash;3. Reprint of the 1970 original. (Éléments de mathématique. Algèbre. Chapitres 1 à 3.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1111.00001">Zbl 1111.00001</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-33849-7/pbk). xiii, 630&nbsp;p. (2007). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</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 1111.00001" data-ciurl="/ci/05069335" data-biburl="/bibtex/05069335.bib" data-amsurl="/amsrefs/05069335.bib" data-xmlurl="/xml/05069335.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05069335.pdf" title="Zbl 1111.00001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item5071155" value="5071155" aria-label="mark item Zbl 1103.13003"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1103.13003"><strong>Elements of mathematics. Commutative algebra. Chapters 8 and 9. Reprint of the 1983 original. (Éléments de mathématique. Algèbre commutative. Chapitres 8 et 9.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1103.13003">Zbl 1103.13003</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-33942-6/pbk). 200&nbsp;p. (2006). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A13C15" title="Dimension theory, depth, related commutative rings (catenary, etc.)">13C15</a> <a class="mono" href="/classification/?q=cc%3A13J10" title="Complete rings, completion">13J10</a> <span class="mono" title="Witt vectors and related rings (MSC2000)">13K05</span> <a class="mono" href="/classification/?q=cc%3A13H05" title="Regular local rings">13H05</a> <a class="mono" href="/classification/?q=cc%3A13H15" title="Multiplicity theory and related topics">13H15</a> <a class="mono" href="/classification/?q=cc%3A13E05" title="Commutative Noetherian rings and modules">13E05</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 1103.13003" data-ciurl="/ci/05071155" data-biburl="/bibtex/05071155.bib" data-amsurl="/amsrefs/05071155.bib" data-xmlurl="/xml/05071155.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05071155.pdf" title="Zbl 1103.13003 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/10.1007/3-540-33980-9" aria-label="DOI for “Elements of mathematics. Commutative algebra. Chapters 8 and 9”" title="10.1007/3-540-33980-9">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="item5071154" value="5071154" aria-label="mark item Zbl 1103.13002"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1103.13002"><strong>Elements of mathematics. Commutative algebra. Chapters 5&ndash;7. Reprint of the 1985 original. (Éléments de mathématique. Algèbre commutative. Chapitres 5 à 7.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1103.13002">Zbl 1103.13002</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-33941-8/pbk). 351&nbsp;p. (2006). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</a> <a class="mono" href="/classification/?q=cc%3A13A18" title="Valuations and their generalizations for commutative rings">13A18</a> <a class="mono" href="/classification/?q=cc%3A13B22" title="Integral closure of commutative rings and ideals">13B22</a> <a class="mono" href="/classification/?q=cc%3A13B35" title="Completion of commutative rings">13B35</a> <a class="mono" href="/classification/?q=cc%3A13C20" title="Class groups">13C20</a> <a class="mono" href="/classification/?q=cc%3A13F05" title="Dedekind, Prüfer, Krull and Mori rings and their generalizations">13F05</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 1103.13002" data-ciurl="/ci/05071154" data-biburl="/bibtex/05071154.bib" data-amsurl="/amsrefs/05071154.bib" data-xmlurl="/xml/05071154.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05071154.pdf" title="Zbl 1103.13002 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item5071153" value="5071153" aria-label="mark item Zbl 1103.13001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1103.13001"><strong>Elements of mathematics. Commutative algebra. Chapters 1&ndash;4. Reprint of the 1985 original. (Éléments de mathématique. Algèbre commutative. Chapitres 1 à 4.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1103.13001">Zbl 1103.13001</a> </h3> <div class="source"> Berlin: Springer (ISBN 3-540-33937-X). 362&nbsp;p. (2006). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">Werner Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</a> <a class="mono" href="/classification/?q=cc%3A13C11" title="Injective and flat modules and ideals in commutative rings">13C11</a> <a class="mono" href="/classification/?q=cc%3A13B30" title="Rings of fractions and localization for commutative rings">13B30</a> <a class="mono" href="/classification/?q=cc%3A13A02" title="Graded rings">13A02</a> <a class="mono" href="/classification/?q=cc%3A13Exx" title="Chain conditions, finiteness conditions in commutative ring theory">13Exx</a> <a class="mono" href="/classification/?q=cc%3A13Jxx" title="Topological rings and modules">13Jxx</a> <a class="mono" href="/classification/?q=cc%3A13A15" title="Ideals and multiplicative ideal theory in commutative rings">13A15</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 1103.13001" data-ciurl="/ci/05071153" data-biburl="/bibtex/05071153.bib" data-amsurl="/amsrefs/05071153.bib" data-xmlurl="/xml/05071153.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05071153.pdf" title="Zbl 1103.13001 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/10.1007/978-3-540-33976-2" aria-label="DOI for “Elements of mathematics. Commutative algebra. Chapters 1--4”" title="10.1007/978-3-540-33976-2">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="item1908322" value="1908322" aria-label="mark item Zbl 1017.12001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1017.12001"><strong>Elements of mathematics. Algebra II. Chapters 4&ndash;7. Transl. from the French by P. M. Cohn and J. Howie. Reprint of the 1990 English translation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1017.12001">Zbl 1017.12001</a> </h3> <div class="source"> Berlin: Springer. vii, 461 p. (2003). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A7707">A.Akutowicz (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A12-02" title="Research exposition (monographs, survey articles) pertaining to field theory">12-02</a> <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A12Fxx" title="Field extensions">12Fxx</a> <a class="mono" href="/classification/?q=cc%3A12J15" title="Ordered fields">12J15</a> <a class="mono" href="/classification/?q=cc%3A13F10" title="Principal ideal rings">13F10</a> <a class="mono" href="/classification/?q=cc%3A13C10" title="Projective and free modules and ideals in commutative rings">13C10</a> <a class="mono" href="/classification/?q=cc%3A12E05" title="Polynomials in general fields (irreducibility, etc.)">12E05</a> <a class="mono" href="/classification/?q=cc%3A06F15" title="Ordered groups">06F15</a> <a class="mono" href="/classification/?q=cc%3A05E05" title="Symmetric functions and generalizations">05E05</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 1017.12001" data-ciurl="/ci/01908322" data-biburl="/bibtex/01908322.bib" data-amsurl="/amsrefs/01908322.bib" data-xmlurl="/xml/01908322.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01908322.pdf" title="Zbl 1017.12001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item5080025" value="5080025" aria-label="mark item Zbl 1101.13300"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/1101.13300"><strong>Elements of mathematics. Commutative algebra. Chapter 10. (Éléments de mathématique. Algèbre commutative. Chapitre 10.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/1101.13300">Zbl 1101.13300</a> </h3> <div class="source"> Paris: Masson (ISBN 2-225-83253-6). 187&nbsp;p. (1998). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</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 1101.13300" data-ciurl="/ci/05080025" data-biburl="/bibtex/05080025.bib" data-amsurl="/amsrefs/05080025.bib" data-xmlurl="/xml/05080025.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05080025.pdf" title="Zbl 1101.13300 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item1194716" value="1194716" aria-label="mark item Zbl 0902.13001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/0902.13001"><strong>Elements of mathematics. Commutative algebra. Chapters 1&ndash;7. Transl. from the French. Softcover edition of the 2nd printing 1989.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0902.13001">Zbl 0902.13001</a> </h3> <div class="source"> Berlin: Springer. xxiv, 625 p. (1998). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A875">W.Kleinert (Berlin)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</a> <a class="mono" href="/classification/?q=cc%3A13Cxx" title="Theory of modules and ideals in commutative rings">13Cxx</a> <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A01A75" title="Collected or selected works; reprintings or translations of classics">01A75</a> <a class="mono" href="/classification/?q=cc%3A13Jxx" title="Topological rings and modules">13Jxx</a> <a class="mono" href="/classification/?q=cc%3A13A15" title="Ideals and multiplicative ideal theory in commutative rings">13A15</a> <a class="mono" href="/classification/?q=cc%3A13A18" title="Valuations and their generalizations for commutative rings">13A18</a> <a class="mono" href="/classification/?q=cc%3A14C20" title="Divisors, linear systems, invertible sheaves">14C20</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 0902.13001" data-ciurl="/ci/01194716" data-biburl="/bibtex/01194716.bib" data-amsurl="/amsrefs/01194716.bib" data-xmlurl="/xml/01194716.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01194716.pdf" title="Zbl 0902.13001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item1194715" value="1194715" aria-label="mark item Zbl 0904.00001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/0904.00001"><strong>Elements of mathematics. Algebra I. Chapters 1&ndash;3. Transl. from the French. Softcover edition of the 2nd printing 1989.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0904.00001">Zbl 0904.00001</a> </h3> <div class="source"> Berlin: Springer. xxiii, 709 p. (1998). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A4846">V.Drensky (Sofia)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A12-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory">12-01</a> <a class="mono" href="/classification/?q=cc%3A15-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra">15-01</a> <a class="mono" href="/classification/?q=cc%3A20-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory">20-01</a> <a class="mono" href="/classification/?q=cc%3A16-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras">16-01</a> <a class="mono" href="/classification/?q=cc%3A17-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras">17-01</a> <a class="mono" href="/classification/?q=cc%3A15A69" title="Multilinear algebra, tensor calculus">15A69</a> <a class="mono" href="/classification/?q=cc%3A15A72" title="Vector and tensor algebra, theory of invariants">15A72</a> <a class="mono" href="/classification/?q=cc%3A15A75" title="Exterior algebra, Grassmann algebras">15A75</a> <a class="mono" href="/classification/?q=cc%3A15A78" title="Other algebras built from modules">15A78</a> <a class="mono" href="/classification/?q=cc%3A17D05" title="Alternative rings">17D05</a> <a class="mono" href="/classification/?q=cc%3A20E05" title="Free nonabelian groups">20E05</a> <a class="mono" href="/classification/?q=cc%3A20F16" title="Solvable groups, supersolvable groups">20F16</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 0904.00001" data-ciurl="/ci/01194715" data-biburl="/bibtex/01194715.bib" data-amsurl="/amsrefs/01194715.bib" data-xmlurl="/xml/01194715.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01194715.pdf" title="Zbl 0904.00001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item194102" value="194102" aria-label="mark item Zbl 0719.12001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, N.</a></div> <h3 class="title"> <a href="/0719.12001"><strong>Elements of mathematics. Algebra II. Chapters 4&ndash;7. Transl. from the French by P. M. Cohn and J. Howie.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0719.12001">Zbl 0719.12001</a> </h3> <div class="source"> Berlin etc.: Springer-Verlag. approx. 460 p. (1990). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A1175">J.N.Mordeson (Omaha)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A12-02" title="Research exposition (monographs, survey articles) pertaining to field theory">12-02</a> <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A12Fxx" title="Field extensions">12Fxx</a> <a class="mono" href="/classification/?q=cc%3A12J15" title="Ordered fields">12J15</a> <a class="mono" href="/classification/?q=cc%3A13F10" title="Principal ideal rings">13F10</a> <a class="mono" href="/classification/?q=cc%3A13C10" title="Projective and free modules and ideals in commutative rings">13C10</a> <a class="mono" href="/classification/?q=cc%3A12E05" title="Polynomials in general fields (irreducibility, etc.)">12E05</a> <a class="mono" href="/classification/?q=cc%3A06F15" title="Ordered groups">06F15</a> <a class="mono" href="/classification/?q=cc%3A05E05" title="Symmetric functions and generalizations">05E05</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 0719.12001" data-ciurl="/ci/00194102" data-biburl="/bibtex/00194102.bib" data-amsurl="/amsrefs/00194102.bib" data-xmlurl="/xml/00194102.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00194102.pdf" title="Zbl 0719.12001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item42070" value="42070" aria-label="mark item Zbl 0666.13001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/0666.13001"><strong>Elements of mathematics. Commutative algebra. Chapters 1&ndash;7. Transl. from the French. 2nd printing.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0666.13001">Zbl 0666.13001</a> </h3> <div class="source"> Berlin etc.: Springer-Verlag. x, 625 p. (1989). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</a> <a class="mono" href="/classification/?q=cc%3A13Cxx" title="Theory of modules and ideals in commutative rings">13Cxx</a> <a class="mono" href="/classification/?q=cc%3A13Jxx" title="Topological rings and modules">13Jxx</a> <a class="mono" href="/classification/?q=cc%3A13A15" title="Ideals and multiplicative ideal theory in commutative rings">13A15</a> <a class="mono" href="/classification/?q=cc%3A13A18" title="Valuations and their generalizations for commutative rings">13A18</a> <a class="mono" href="/classification/?q=cc%3A14C20" title="Divisors, linear systems, invertible sheaves">14C20</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 0666.13001" data-ciurl="/ci/00042070" data-biburl="/bibtex/00042070.bib" data-amsurl="/amsrefs/00042070.bib" data-xmlurl="/xml/00042070.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00042070.pdf" title="Zbl 0666.13001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item194100" value="194100" aria-label="mark item Zbl 0673.00001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/0673.00001"><strong>Elements of mathematics. Algebra I. Chapters 1&ndash;3. Transl. from the French. 2nd printing.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0673.00001">Zbl 0673.00001</a> </h3> <div class="source"> Berlin etc.: Springer-Verlag. xxiii, 709 p. (1989). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A1424">B.Richter</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</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 0673.00001" data-ciurl="/ci/00194100" data-biburl="/bibtex/00194100.bib" data-amsurl="/amsrefs/00194100.bib" data-xmlurl="/xml/00194100.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00194100.pdf" title="Zbl 0673.00001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item4010742" value="4010742" aria-label="mark item Zbl 0623.18008"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, N.</a></div> <h3 class="title"> <a href="/0623.18008"><strong>Elements of mathematics. Algebra. Chapter 10: Homological algebra. (Ehlementy matematiki. Algebra. Glava 10: Gomologicheskaya algebra). Transl. from the French by E. S. Golod. Ed. by A. I. Kostrikin.</strong></a> <i>(Russian)</i> <a class="label nowrap" href="/0623.18008">Zbl 0623.18008</a> </h3> <div class="source"> Moskva: &ldquo;Nauka&rdquo;. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 184 p. (1987). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A18Gxx" title="Homological algebra in category theory, derived categories and functors">18Gxx</a> <a class="mono" href="/classification/?q=cc%3A18E10" title="Abelian categories, Grothendieck categories">18E10</a> <a class="mono" href="/classification/?q=cc%3A18-02" title="Research exposition (monographs, survey articles) pertaining to category theory">18-02</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 0623.18008" data-ciurl="" data-biburl="/bibtex/04010742.bib" data-amsurl="/amsrefs/04010742.bib" data-xmlurl="/xml/04010742.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04010742.pdf" title="Zbl 0623.18008 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item3440338" value="3440338" aria-label="mark item Zbl 0281.00006"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/0281.00006"><strong>Elements of mathematics. Algebra I. Chapters 1&ndash;3. Translation from the French.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0281.00006">Zbl 0281.00006</a> </h3> <div class="source"> Actualités scientifiques et industrielles, Hermann. Adiwes International Series in Mathematics. Paris: Hermann; Reading, Mass.: Addison-Wesley Publishing Company, Advanced Book Program. xxiii, 709 p. (1974). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A00A05" title="Mathematics in general">00A05</a> <a class="mono" href="/classification/?q=cc%3A20-02" title="Research exposition (monographs, survey articles) pertaining to group theory">20-02</a> <a class="mono" href="/classification/?q=cc%3A16-02" title="Research exposition (monographs, survey articles) pertaining to associative rings and algebras">16-02</a> <a class="mono" href="/classification/?q=cc%3A12-02" title="Research exposition (monographs, survey articles) pertaining to field theory">12-02</a> <a class="mono" href="/classification/?q=cc%3A20-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory">20-01</a> <a class="mono" href="/classification/?q=cc%3A16-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras">16-01</a> <a class="mono" href="/classification/?q=cc%3A12-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory">12-01</a> <a class="mono" href="/classification/?q=cc%3A15-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra">15-01</a> <a class="mono" href="/classification/?q=cc%3A15-02" title="Research exposition (monographs, survey articles) pertaining to linear algebra">15-02</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 0281.00006" data-ciurl="" data-biburl="/bibtex/03440338.bib" data-amsurl="/amsrefs/03440338.bib" data-xmlurl="/xml/03440338.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03440338.pdf" title="Zbl 0281.00006 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item3439001" value="3439001" aria-label="mark item Zbl 0279.13001"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, Nicolas</a></div> <h3 class="title"> <a href="/0279.13001"><strong>Elements of mathematics. Commutative algebra. Translated from the French.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0279.13001">Zbl 0279.13001</a> </h3> <div class="source"> Actualités scientifiques et industrielles, Hermann. Adiwes International Series in Mathematics. Paris: Hermann; Reading, Mass.: Addison-Wesley Publishing Company. xxiv, 625 p. (1972). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</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 0279.13001" data-ciurl="" data-biburl="/bibtex/03439001.bib" data-amsurl="/amsrefs/03439001.bib" data-xmlurl="/xml/03439001.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03439001.pdf" title="Zbl 0279.13001 as PDF">Review PDF</a> </div> <div class="fulltexts"> </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="item3377353" value="3377353" aria-label="mark item Zbl 0238.13002"></div> <div class="author"><a href="/authors/bourbaki.nicolas" title="Author Profile">Bourbaki, N.</a></div> <div class="author_references"><a href="/authors/golod.e-s" title="Author Profile">Golod, E. S. (ed.)</a></div> <h3 class="title"> <a href="/0238.13002"><strong>Elements de mathematique. Algebre commutative. (Elementy matematiki. Kommutativnaja algebra.) Übersetzung aus dem Französischen von A. A. Bel&rsquo;skii. Herausgegeben von E. S. Golod.</strong></a> <i>(Russian)</i> <a class="label nowrap" href="/0238.13002">Zbl 0238.13002</a> </h3> <div class="source"> Moskau: Verlag &ldquo;Mir&rdquo;. 707 S. (1971). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A13-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra">13-01</a> <a class="mono" href="/classification/?q=cc%3A13-02" title="Research exposition (monographs, survey articles) pertaining to commutative algebra">13-02</a> <a class="mono" href="/classification/?q=cc%3A13A99" title="General commutative ring theory">13A99</a> <a class="mono" href="/classification/?q=cc%3A13C99" title="Theory of modules and ideals in commutative rings">13C99</a> <a class="mono" href="/classification/?q=cc%3A13J99" title="Topological rings and modules">13J99</a> <a class="mono" href="/classification/?q=cc%3A13A15" title="Ideals and multiplicative ideal theory in commutative rings">13A15</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 0238.13002" data-ciurl="" data-biburl="/bibtex/03377353.bib" data-amsurl="/amsrefs/03377353.bib" data-xmlurl="/xml/03377353.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03377353.pdf" title="Zbl 0238.13002 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by &hellip;</h2> <div class="filter filter-ai"><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+ai%3Abourbaki.nicolas">Bourbaki, Nicolas</a> (21) </li><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+ai%3Agolod.e-s">Golod, Evgeniĭ Solomonovich</a> (1) </li></ul> </div> <div class="filter filter-py"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Year of Publication</h3> <ul><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A2023">2023</a> (1) </li><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A2012">2012</a> (1) </li><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A2007">2007</a> (5) </li><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A2006">2006</a> (3) </li><li> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A2003">2003</a> (1) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1998">1998</a> (3) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1990">1990</a> (1) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1989">1989</a> (2) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1987">1987</a> (1) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1974">1974</a> (1) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1972">1972</a> (1) </li><li class="more"> <a href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+py%3A1971">1971</a> (1) </li> </ul> </div> <div class="filter filter-cc"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 3 <i class="caret"></i></a><h3 class="filter-caption">Main Field</h3> <ul><li> <a class="" href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+cc%3A13" title="Commutative algebra">13-XX </a> (13) </li><li> <a class="" href="/?q=%28au%3A+Bourbaki+%26+ti%3A+Algebra%29+cc%3A00" title="General and overarching topics; 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