Commutative Algebra

Authors and titles for recent submissions

• Thu, 17 Apr 2025
• Wed, 16 Apr 2025
• Tue, 15 Apr 2025
• Mon, 14 Apr 2025
• Fri, 11 Apr 2025

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Thu, 17 Apr 2025 (showing 5 of 5 entries )

[1] arXiv:2504.12179 [pdf, html, other]

Title: Modular matrix invariants under some transpose actions

Yin Chen, Shan Ren

Comments: 11 pages and submitted for publication

Subjects: Commutative Algebra (math.AC)

[2] arXiv:2504.12146 [pdf, html, other]

Title: Computation of dominant ideals

Anna Maria Bigatti, Nursel Erey, Selvi Kara, Augustine O'Keefe, Sonja Petrović, Pierpaola Santarsiero, Janet Striuli

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[3] arXiv:2504.12145 [pdf, html, other]

Title: Factorizations of polynomials with integral non-negative coefficients

Federico Campanini, Alberto Facchini

Subjects: Commutative Algebra (math.AC)

[4] arXiv:2504.12019 [pdf, html, other]

Title: Computational Aspects of the Short Resolution

Ignacio García-Marco, Philippe Gimenez, Mario González-Sánchez

Comments: 28 pages, 3 figures, 1 table

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[5] arXiv:2504.11941 [pdf, html, other]

Title: Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers

Trung Chau, Kanoy Kumar Das, Amit Roy, Kamalesh Saha

Comments: 33 pages, 3 figures, comments are welcome!

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

Wed, 16 Apr 2025 (showing 5 of 5 entries )

[6] arXiv:2504.11394 [pdf, html, other]

Title: Overrings of half-factorial orders

Jason Boynton, Jim Coykendall, Grant Moles, Chelsey Morrow

Comments: 11 pages

Subjects: Commutative Algebra (math.AC)

[7] arXiv:2504.10841 [pdf, html, other]

Title: Some four-dimensional orthogonal invariants

Shan Ren, Runxuan Zhang

Comments: 12 pages

Subjects: Commutative Algebra (math.AC)

[8] arXiv:2504.10725 [pdf, html, other]

Title: On the Weierstrass Preparation Theorem over General Rings

Jason Bell, Peter Malcolmson, Frank Okoh, Yatin Patel

Comments: 20 pages

Subjects: Commutative Algebra (math.AC); Logic (math.LO); Number Theory (math.NT)

[9] arXiv:2504.10722 [pdf, html, other]

Title: On GL-domains and the ascent of the IDF property

Victor Gonzalez, Ishan Panpaliya

Subjects: Commutative Algebra (math.AC)

[10] arXiv:2504.10922 (cross-list from math.AG) [pdf, html, other]

Title: Equivalence of germs (of mappings and sets) over k vs that over K

Dmitry Kerner

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Complex Variables (math.CV)

Tue, 15 Apr 2025 (showing 5 of 5 entries )

[11] arXiv:2504.10019 [pdf, html, other]

Title: Sagbi bases, defining ideals and algebra of minors

Winfried Bruns, Aldo Conca, Francesca Lembo

Subjects: Commutative Algebra (math.AC)

[12] arXiv:2504.09703 [pdf, html, other]

Title: Homological invariants of edge ideals of weighted oriented graphs

Trung Chau, Richie Sheng, Debbie Wooton

Comments: are welcome!!! 19 pages

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[13] arXiv:2504.09505 [pdf, html, other]

Title: An approach to Martsinkovsky's invariant via Auslander's approximation theory

Yuya Otake

Comments: 20 pages

Subjects: Commutative Algebra (math.AC); Rings and Algebras (math.RA); Representation Theory (math.RT)

[14] arXiv:2504.10381 (cross-list from math.AG) [pdf, html, other]

Title: Abstract simplicial complexes in {\tt Macaulay2}

Nathan Grieve

Comments: Accepted by Journal of software for algebra and geometry

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Algebraic Topology (math.AT); Combinatorics (math.CO); K-Theory and Homology (math.KT)

[15] arXiv:2504.09174 (cross-list from cs.CG) [pdf, html, other]

Title: Commutative algebra-enhanced topological data analysis

Chuanshen Hu, Yu Wang, Kelin Xia, Ke Ye, Yipeng Zhang

Subjects: Computational Geometry (cs.CG); Commutative Algebra (math.AC); Algebraic Topology (math.AT)

Mon, 14 Apr 2025

No updates for this time period.

Fri, 11 Apr 2025 (showing 4 of 4 entries )

[16] arXiv:2504.07541 [pdf, html, other]

Title: On the initial ideal of a generic artinian Gorenstein algebra

Mats Boij, Luís Duarte, Samuel Lundqvist

Subjects: Commutative Algebra (math.AC)

[17] arXiv:2504.07536 [pdf, html, other]

Title: Criteria for finite injective dimension of modules over a local ring

Shinnosuke Kosaka, Yuki Mifune, Kenta Shimizu

Comments: 6 pages

Subjects: Commutative Algebra (math.AC)

[18] arXiv:2504.07535 [pdf, html, other]

Title: The v-numbers of Stanley-Reisner ideals from the viewpoint of Alexander dual complexes

Tatsuya Kataoka, Yuji Muta, Naoki Terai

Comments: 20 pages

Subjects: Commutative Algebra (math.AC)

[19] arXiv:2504.07184 [pdf, html, other]

Title: Hermite Reciprocity and Self-Duality of Generalized Eagon-Northcott Complexes

Ethan Reed

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)