Commutative Algebra

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href="/list/math.AC/recent?skip=21&show=50"> Mon, 17 Mar 2025 </a> </li></ul> <p>See today's <a id="new-math.AC" aria-labelledby="new-math.AC" href="/list/math.AC/new">new</a> changes</p> <div class='paging'>Total of 27 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.AC/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> <dl id='articles'> <h3>Fri, 21 Mar 2025 (showing 3 of 3 entries )</h3> <dt> <a name='item1'>[1]</a> <a href ="/abs/2503.16393" title="Abstract" id="2503.16393"> arXiv:2503.16393 </a> [<a href="/pdf/2503.16393" title="Download PDF" id="pdf-2503.16393" aria-labelledby="pdf-2503.16393">pdf</a>, <a href="https://arxiv.org/html/2503.16393v1" title="View HTML" id="html-2503.16393" aria-labelledby="html-2503.16393" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.16393" title="Other formats" id="oth-2503.16393" aria-labelledby="oth-2503.16393">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Multiplicity $=$ Volume formula and Newton non-degenerate ideals in regular local rings </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=H%C3%A0,+T+H">T脿i Huy H脿</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nguyen,+T+T">Thai Thanh Nguyen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pham,+V+A">Vinh Anh Pham</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Comments are welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2503.16155" title="Abstract" id="2503.16155"> arXiv:2503.16155 </a> [<a href="/pdf/2503.16155" title="Download PDF" id="pdf-2503.16155" aria-labelledby="pdf-2503.16155">pdf</a>, <a href="https://arxiv.org/html/2503.16155v1" title="View HTML" id="html-2503.16155" aria-labelledby="html-2503.16155" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.16155" title="Other formats" id="oth-2503.16155" aria-labelledby="oth-2503.16155">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Some new Betti numbers of ideals generated by n+1 generic forms in n variables </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Fr%C3%B6berg,+R">Ralf Fr枚berg</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item3'>[3]</a> <a href ="/abs/2503.16226" title="Abstract" id="2503.16226"> arXiv:2503.16226 </a> (cross-list from math.RT) [<a href="/pdf/2503.16226" title="Download PDF" id="pdf-2503.16226" aria-labelledby="pdf-2503.16226">pdf</a>, <a href="/format/2503.16226" title="Other formats" id="oth-2503.16226" aria-labelledby="oth-2503.16226">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Mutation and the Gabriel spectrum </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hrbek,+M">Michal Hrbek</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pavon,+S">Sergio Pavon</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Vit%C3%B3ria,+J">Jorge Vit贸ria</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 42 pages; 4 figures; comments are welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Representation Theory (math.RT)</span>; Commutative Algebra (math.AC); Category Theory (math.CT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Thu, 20 Mar 2025 (showing 3 of 3 entries )</h3> <dt> <a name='item4'>[4]</a> <a href ="/abs/2503.15037" title="Abstract" id="2503.15037"> arXiv:2503.15037 </a> [<a href="/pdf/2503.15037" title="Download PDF" id="pdf-2503.15037" aria-labelledby="pdf-2503.15037">pdf</a>, <a href="https://arxiv.org/html/2503.15037v1" title="View HTML" id="html-2503.15037" aria-labelledby="html-2503.15037" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15037" title="Other formats" id="oth-2503.15037" aria-labelledby="oth-2503.15037">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Sken and cluster algebras of punctured surfaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Li,+E">Enhan Li</a> (University of Science and Technology of China)</div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Algebraic Geometry (math.AG); Geometric Topology (math.GT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2503.14715" title="Abstract" id="2503.14715"> arXiv:2503.14715 </a> (cross-list from math.AG) [<a href="/pdf/2503.14715" title="Download PDF" id="pdf-2503.14715" aria-labelledby="pdf-2503.14715">pdf</a>, <a href="https://arxiv.org/html/2503.14715v1" title="View HTML" id="html-2503.14715" aria-labelledby="html-2503.14715" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14715" title="Other formats" id="oth-2503.14715" aria-labelledby="oth-2503.14715">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Some NP Complete Problems Based on Algebra and Algebraic Geometry </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hriljac,+P">Paul Hriljac</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Proceedings of RIMS Symposium on Semigroups, Algebra, Languages and Related Areas of Computer Science, Kyoto,2024 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Commutative Algebra (math.AC) </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2503.14664" title="Abstract" id="2503.14664"> arXiv:2503.14664 </a> (cross-list from math.CO) [<a href="/pdf/2503.14664" title="Download PDF" id="pdf-2503.14664" aria-labelledby="pdf-2503.14664">pdf</a>, <a href="https://arxiv.org/html/2503.14664v1" title="View HTML" id="html-2503.14664" aria-labelledby="html-2503.14664" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14664" title="Other formats" id="oth-2503.14664" aria-labelledby="oth-2503.14664">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Exploring the unleaved tree of numerical semigroups up to a given genus </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bras-Amor%C3%B3s,+M">Maria Bras-Amor贸s</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Combinatorics (math.CO)</span>; Discrete Mathematics (cs.DM); Commutative Algebra (math.AC) </div> </div> </dd> </dl> <dl id='articles'> <h3>Wed, 19 Mar 2025 (showing 4 of 4 entries )</h3> <dt> <a name='item7'>[7]</a> <a href ="/abs/2503.14429" title="Abstract" id="2503.14429"> arXiv:2503.14429 </a> [<a href="/pdf/2503.14429" title="Download PDF" id="pdf-2503.14429" aria-labelledby="pdf-2503.14429">pdf</a>, <a href="/format/2503.14429" title="Other formats" id="oth-2503.14429" aria-labelledby="oth-2503.14429">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Multiplicities and degree functions in local rings via intersection products </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Cutkosky,+S+D">Steven Dale Cutkosky</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Monta%C3%B1o,+J">Jonathan Monta帽o</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2503.13920" title="Abstract" id="2503.13920"> arXiv:2503.13920 </a> [<a href="/pdf/2503.13920" title="Download PDF" id="pdf-2503.13920" aria-labelledby="pdf-2503.13920">pdf</a>, <a href="https://arxiv.org/html/2503.13920v1" title="View HTML" id="html-2503.13920" aria-labelledby="html-2503.13920" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13920" title="Other formats" id="oth-2503.13920" aria-labelledby="oth-2503.13920">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Complete intersection algebras with binomial Macaulay dual generator </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Di+Gennaro,+R">Roberta Di Gennaro</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mir%C3%B3-Roig,+R+M">Rosa Maria Mir贸-Roig</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item9'>[9]</a> <a href ="/abs/2503.13846" title="Abstract" id="2503.13846"> arXiv:2503.13846 </a> [<a href="/pdf/2503.13846" title="Download PDF" id="pdf-2503.13846" aria-labelledby="pdf-2503.13846">pdf</a>, <a href="https://arxiv.org/html/2503.13846v2" title="View HTML" id="html-2503.13846" aria-labelledby="html-2503.13846" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13846" title="Other formats" id="oth-2503.13846" aria-labelledby="oth-2503.13846">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Uniform bounds in excellent $\mathbf{F}_p$-algebras and applications to semi-continuity </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Lyu,+S">Shiji Lyu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 37 pages. Comments welcome! v2: added missing notational conventions at the beginning </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2503.13640" title="Abstract" id="2503.13640"> arXiv:2503.13640 </a> (cross-list from cs.SC) [<a href="/pdf/2503.13640" title="Download PDF" id="pdf-2503.13640" aria-labelledby="pdf-2503.13640">pdf</a>, <a href="https://arxiv.org/html/2503.13640v1" title="View HTML" id="html-2503.13640" aria-labelledby="html-2503.13640" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13640" title="Other formats" id="oth-2503.13640" aria-labelledby="oth-2503.13640">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> LSU factorization </div> <div class='list-authors'><a href="https://arxiv.org/search/cs?searchtype=author&query=Malaschonok,+G">Gennadi Malaschonok</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 7 pages, 1 figures </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> 2023 International Conference on Computational Science and Computational Intelligence (CSCI), Las Vegas, NV, USA, 2023, pp. 472-478 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Symbolic Computation (cs.SC)</span>; Commutative Algebra (math.AC) </div> </div> </dd> </dl> <dl id='articles'> <h3>Tue, 18 Mar 2025 (showing 11 of 11 entries )</h3> <dt> <a name='item11'>[11]</a> <a href ="/abs/2503.13337" title="Abstract" id="2503.13337"> arXiv:2503.13337 </a> [<a href="/pdf/2503.13337" title="Download PDF" id="pdf-2503.13337" aria-labelledby="pdf-2503.13337">pdf</a>, <a href="https://arxiv.org/html/2503.13337v1" title="View HTML" id="html-2503.13337" aria-labelledby="html-2503.13337" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13337" title="Other formats" id="oth-2503.13337" aria-labelledby="oth-2503.13337">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chau,+T">Trung Chau</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Erey,+N">Nursel Erey</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Maithani,+A">Aryaman Maithani</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 20 pages. Comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2503.13157" title="Abstract" id="2503.13157"> arXiv:2503.13157 </a> [<a href="/pdf/2503.13157" title="Download PDF" id="pdf-2503.13157" aria-labelledby="pdf-2503.13157">pdf</a>, <a href="/format/2503.13157" title="Other formats" id="oth-2503.13157" aria-labelledby="oth-2503.13157">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Topics in higher ramification theory </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kuhlmann,+F">Franz-Viktor Kuhlmann</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> This manuscript will be expanded in the near future </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item13'>[13]</a> <a href ="/abs/2503.12839" title="Abstract" id="2503.12839"> arXiv:2503.12839 </a> [<a href="/pdf/2503.12839" title="Download PDF" id="pdf-2503.12839" aria-labelledby="pdf-2503.12839">pdf</a>, <a href="https://arxiv.org/html/2503.12839v1" title="View HTML" id="html-2503.12839" aria-labelledby="html-2503.12839" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12839" title="Other formats" id="oth-2503.12839" aria-labelledby="oth-2503.12839">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Equality of DSER elementary orthogonal group and Eichler-Siegel-Dickson transvection group </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pradeep,+G">Gayathry Pradeep</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Asokan,+A+A">Ambily Ambattu Asokan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kovilakam,+A+P+V">Aparna Pradeep Vadakke Kovilakam</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2503.12407" title="Abstract" id="2503.12407"> arXiv:2503.12407 </a> [<a href="/pdf/2503.12407" title="Download PDF" id="pdf-2503.12407" aria-labelledby="pdf-2503.12407">pdf</a>, <a href="https://arxiv.org/html/2503.12407v1" title="View HTML" id="html-2503.12407" aria-labelledby="html-2503.12407" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12407" title="Other formats" id="oth-2503.12407" aria-labelledby="oth-2503.12407">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A characterization of binomial Macaulay dual generators for complete intersections </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Shibata,+K">Kohsuke Shibata</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2503.12241" title="Abstract" id="2503.12241"> arXiv:2503.12241 </a> [<a href="/pdf/2503.12241" title="Download PDF" id="pdf-2503.12241" aria-labelledby="pdf-2503.12241">pdf</a>, <a href="https://arxiv.org/html/2503.12241v1" title="View HTML" id="html-2503.12241" aria-labelledby="html-2503.12241" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12241" title="Other formats" id="oth-2503.12241" aria-labelledby="oth-2503.12241">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On numerical semigroup elements and the $\ell_0$- and $\ell_\infty$-norms of their factorizations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Cyrusian,+S">Sogol Cyrusian</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Domat,+A">Alex Domat</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=O'Neill,+C">Christopher O'Neill</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ponomarenko,+V">Vadim Ponomarenko</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ren,+E">Eric Ren</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ward,+M">Mayla Ward</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item16'>[16]</a> <a href ="/abs/2503.12114" title="Abstract" id="2503.12114"> arXiv:2503.12114 </a> [<a href="/pdf/2503.12114" title="Download PDF" id="pdf-2503.12114" aria-labelledby="pdf-2503.12114">pdf</a>, <a href="https://arxiv.org/html/2503.12114v1" title="View HTML" id="html-2503.12114" aria-labelledby="html-2503.12114" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12114" title="Other formats" id="oth-2503.12114" aria-labelledby="oth-2503.12114">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On binomial edge ideals of corona of graphs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hajra,+B">Buddhadev Hajra</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sarkar,+R">Rajib Sarkar</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 22 pages, comments and suggestions are welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item17'>[17]</a> <a href ="/abs/2503.12111" title="Abstract" id="2503.12111"> arXiv:2503.12111 </a> [<a href="/pdf/2503.12111" title="Download PDF" id="pdf-2503.12111" aria-labelledby="pdf-2503.12111">pdf</a>, <a href="https://arxiv.org/html/2503.12111v1" title="View HTML" id="html-2503.12111" aria-labelledby="html-2503.12111" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12111" title="Other formats" id="oth-2503.12111" aria-labelledby="oth-2503.12111">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Regularity of $3$-Path Ideals of Trees and Unicyclic Graphs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kumar,+R">Rajiv Kumar</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sarkar,+R">Rajib Sarkar</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 9 pages, comments and suggestions are welcome </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Bull. Malays. Math. Sci. Soc., 47, article number 4, pp.10, 2024 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item18'>[18]</a> <a href ="/abs/2503.12032" title="Abstract" id="2503.12032"> arXiv:2503.12032 </a> [<a href="/pdf/2503.12032" title="Download PDF" id="pdf-2503.12032" aria-labelledby="pdf-2503.12032">pdf</a>, <a href="/format/2503.12032" title="Other formats" id="oth-2503.12032" aria-labelledby="oth-2503.12032">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Recursive Koszul flattenings of determinant and permanent tensors </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Han,+J+I">Jong In Han</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ju,+J">Jeong-Hoon Ju</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kim,+Y">Yeongrak Kim</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 17 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item19'>[19]</a> <a href ="/abs/2503.11866" title="Abstract" id="2503.11866"> arXiv:2503.11866 </a> [<a href="/pdf/2503.11866" title="Download PDF" id="pdf-2503.11866" aria-labelledby="pdf-2503.11866">pdf</a>, <a href="https://arxiv.org/html/2503.11866v1" title="View HTML" id="html-2503.11866" aria-labelledby="html-2503.11866" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11866" title="Other formats" id="oth-2503.11866" aria-labelledby="oth-2503.11866">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Betti Numbers for Modules Over Artinian Local Rings </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=He,+K">Kaiyue He</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 17 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span> </div> </div> </dd> <dt> <a name='item20'>[20]</a> <a href ="/abs/2503.11719" title="Abstract" id="2503.11719"> arXiv:2503.11719 </a> [<a href="/pdf/2503.11719" title="Download PDF" id="pdf-2503.11719" aria-labelledby="pdf-2503.11719">pdf</a>, <a href="https://arxiv.org/html/2503.11719v1" title="View HTML" id="html-2503.11719" aria-labelledby="html-2503.11719" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11719" title="Other formats" id="oth-2503.11719" aria-labelledby="oth-2503.11719">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The Tate Intermediate Value Theorem </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Balmer,+P">Paul Balmer</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sanders,+B">Beren Sanders</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 35 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Category Theory (math.CT); K-Theory and Homology (math.KT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2503.12319" title="Abstract" id="2503.12319"> arXiv:2503.12319 </a> (cross-list from math.GT) [<a href="/pdf/2503.12319" title="Download PDF" id="pdf-2503.12319" aria-labelledby="pdf-2503.12319">pdf</a>, <a href="https://arxiv.org/html/2503.12319v1" title="View HTML" id="html-2503.12319" aria-labelledby="html-2503.12319" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12319" title="Other formats" id="oth-2503.12319" aria-labelledby="oth-2503.12319">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cluster algebras and skein algebras for surfaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Karuo,+H">Hiroaki Karuo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Moon,+H">Han-Bom Moon</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wong,+H">Helen Wong</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 page, partly expository, prepared for Proceedings in Contemporary Mathematics </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Geometric Topology (math.GT)</span>; Commutative Algebra (math.AC); Algebraic Geometry (math.AG) </div> </div> </dd> </dl> <dl id='articles'> <h3>Mon, 17 Mar 2025 (showing 6 of 6 entries )</h3> <dt> <a name='item22'>[22]</a> <a href ="/abs/2503.11424" title="Abstract" id="2503.11424"> arXiv:2503.11424 </a> [<a href="/pdf/2503.11424" title="Download PDF" id="pdf-2503.11424" aria-labelledby="pdf-2503.11424">pdf</a>, <a href="https://arxiv.org/html/2503.11424v1" title="View HTML" id="html-2503.11424" aria-labelledby="html-2503.11424" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11424" title="Other formats" id="oth-2503.11424" aria-labelledby="oth-2503.11424">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Edge ideals with linear quotients and without homological linear quotients </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chau,+T">Trung Chau</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Das,+K+K">Kanoy Kumar Das</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Maithani,+A">Aryaman Maithani</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 20 pages, comments are welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item23'>[23]</a> <a href ="/abs/2503.11119" title="Abstract" id="2503.11119"> arXiv:2503.11119 </a> [<a href="/pdf/2503.11119" title="Download PDF" id="pdf-2503.11119" aria-labelledby="pdf-2503.11119">pdf</a>, <a href="https://arxiv.org/html/2503.11119v1" title="View HTML" id="html-2503.11119" aria-labelledby="html-2503.11119" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11119" title="Other formats" id="oth-2503.11119" aria-labelledby="oth-2503.11119">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Computing Certificates of Strictly Positive Polynomials in Archimedean Quadratic Modules </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Shang,+W">Weifeng Shang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mou,+C">Chenqi Mou</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Joo,+J+A+C">Jose Abel Castellanos Joo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kapur,+D">Deepak Kapur</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 22 pages, 1 figure </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Symbolic Computation (cs.SC); Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item24'>[24]</a> <a href ="/abs/2503.10778" title="Abstract" id="2503.10778"> arXiv:2503.10778 </a> [<a href="/pdf/2503.10778" title="Download PDF" id="pdf-2503.10778" aria-labelledby="pdf-2503.10778">pdf</a>, <a href="https://arxiv.org/html/2503.10778v1" title="View HTML" id="html-2503.10778" aria-labelledby="html-2503.10778" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.10778" title="Other formats" id="oth-2503.10778" aria-labelledby="oth-2503.10778">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Quasi-$F$-Purity of Excellent Rings </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Jagathese,+V">Vignesh Jagathese</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Commutative Algebra (math.AC)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2503.11592" title="Abstract" id="2503.11592"> arXiv:2503.11592 </a> (cross-list from math.FA) [<a href="/pdf/2503.11592" title="Download PDF" id="pdf-2503.11592" aria-labelledby="pdf-2503.11592">pdf</a>, <a href="https://arxiv.org/html/2503.11592v1" title="View HTML" id="html-2503.11592" aria-labelledby="html-2503.11592" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11592" title="Other formats" id="oth-2503.11592" aria-labelledby="oth-2503.11592">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Maximal ideal space of some Banach algebras of Dirichlet series </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Sasane,+A">Amol Sasane</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 10 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Functional Analysis (math.FA)</span>; Commutative Algebra (math.AC); Complex Variables (math.CV); Rings and Algebras (math.RA) </div> </div> </dd> <dt> <a name='item26'>[26]</a> <a href ="/abs/2503.11325" title="Abstract" id="2503.11325"> arXiv:2503.11325 </a> (cross-list from math.GR) [<a href="/pdf/2503.11325" title="Download PDF" id="pdf-2503.11325" aria-labelledby="pdf-2503.11325">pdf</a>, <a href="https://arxiv.org/html/2503.11325v1" title="View HTML" id="html-2503.11325" aria-labelledby="html-2503.11325" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11325" title="Other formats" id="oth-2503.11325" aria-labelledby="oth-2503.11325">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Some Hereditary and Super Classes of Directly Finite Abelian Groups </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Danchev,+P">Peter Danchev</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Goldsmith,+B">Brendan Goldsmith</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Karimi,+F">Fatemeh Karimi</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 20 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Group Theory (math.GR)</span>; Commutative Algebra (math.AC); Rings and Algebras (math.RA) </div> </div> </dd> <dt> <a name='item27'>[27]</a> <a href ="/abs/2503.11042" title="Abstract" id="2503.11042"> arXiv:2503.11042 </a> (cross-list from math.AG) [<a href="/pdf/2503.11042" title="Download PDF" id="pdf-2503.11042" aria-labelledby="pdf-2503.11042">pdf</a>, <a href="/format/2503.11042" title="Other formats" id="oth-2503.11042" aria-labelledby="oth-2503.11042">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Infinitesimal successive minima, partial jets and convex geometry </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Fulger,+M">Mihai Fulger</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lozovanu,+V">Victor Lozovanu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 49 pages, comments welcomed, v2. attempted to fix transparency issues pictures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Commutative Algebra (math.AC) </div> </div> </dd> </dl> <div class='paging'>Total of 27 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.AC/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em">  <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div>   <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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Commutative Algebra