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Commutative Algebra

Authors and titles for April 2025

Total of 77 entries : 1-50 51-77
Showing up to 50 entries per page: fewer | more | all
[1] arXiv:2504.01633 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Prime and weakly prime submodules on amalgamated duplication of a ring along an ideal
Gürsel Yeşilot, Esra Tarakcı, Yasemin Şimşek
Subjects: Commutative Algebra (math.AC)
[2] arXiv:2504.01834 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Faster computation of Witt vectors over polynomial rings
Rubén Muñoz--Bertrand
Comments: 11 pages
Subjects: Commutative Algebra (math.AC)
[3] arXiv:2504.02360 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On graded going-down domains, II
Parviz Sahandi, Nematollah Shirmohammadi
Comments: 13 pages, final version
Subjects: Commutative Algebra (math.AC)
[4] arXiv:2504.02493 (cross-list from math.AC) [cn-pdf, pdf, other]
Title: On zero-divisor graph of the ring of Gaussian integers modulo $2^n$
Aruna Venkatesan, Krishnan Paramasivam, M. Sabeel K
Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO) ; Number Theory (math.NT)
[5] arXiv:2504.02601 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: The Homotopy Category of Strongly flat modules
Javad Asadollahi, Somayeh Sadeghi
Comments: Comments are welcome
Subjects: Commutative Algebra (math.AC) ; Representation Theory (math.RT)
[6] arXiv:2504.02966 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On deformation of perfectoid purity in Gorenstein domains
Benjamin Baily, Karina Dovgodko, Austyn Simpson, Jack Westbrook
Comments: v1: 9 pages, comments welcome. v2: Title change. Updated Theorem 5.7 to include missing assumption. 10 pages, comments welcome
Subjects: Commutative Algebra (math.AC)
[7] arXiv:2504.03307 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On the algebraic degree stability of vectorial Boolean functions when restricted to affine subspaces
Claude Carlet, Serge Feukoua, Ana Salagean
Comments: 25 pages
Subjects: Commutative Algebra (math.AC) ; Cryptography and Security (cs.CR)
[8] arXiv:2504.03414 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Further results on Artin approximation, for group-actions on mapping-germs Maps(X,Y) and for quivers of maps
Dmitry Kerner
Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)
[9] arXiv:2504.03977 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal
Rachel Diethorn, Sema Güntürkün, Alexis Hardesty, Pinar Mete, Liana Şega, Aleksandra Sobieska, Oana Veliche
Subjects: Commutative Algebra (math.AC)
[10] arXiv:2504.04433 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On composition of muiltivariable formal power series
Motaz Mokatren
Subjects: Commutative Algebra (math.AC)
[11] arXiv:2504.04478 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Some Results on $\mathrm{v}$-Number of Monomial Ideals
Liuqing Yang, Kaiwen Hu, Lizhong Chu
Subjects: Commutative Algebra (math.AC)
[12] arXiv:2504.04746 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: The Cohen-Macaulay property of invariant rings over ring of integers of a global field-II
Tony J. Puthenpurakal
Subjects: Commutative Algebra (math.AC)
[13] arXiv:2504.04846 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Iterated and Generalized Iterated Integrals
Chitrarekha Sahu, Matthias Seiss, Varadharaj Ravi Srinivasan
Comments: 20 pages
Subjects: Commutative Algebra (math.AC)
[14] arXiv:2504.05261 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Componentwise Linear Ideals From Sums
Hailong Dao, Sreehari Suresh-Babu
Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)
[15] arXiv:2504.05554 (cross-list from math.AC) [cn-pdf, pdf, other]
Title: Closure operations induced via resolutions of singularities in characteristic zero
Neil Epstein, Peter M. McDonald, Rebecca R.G., Karl Schwede
Comments: 45 pages. Numerous minor changes, corrections, clarifications, and improvements. Notably, various equidimensional hypotheses added. Comments welcome
Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)
[16] arXiv:2504.06216 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Toric ideals of graphs minimally generated by a Gröbner basis
Ignacio García-Marco, Irene Márquez-Corbella, Christos Tatakis
Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)
[17] arXiv:2504.06444 (cross-list from math.AC) [cn-pdf, pdf, other]
Title: Variants on Frobenius Intersection Flatness and Applications to Tate Algebras
Rankeya Datta, Neil Epstein, Karl Schwede, Kevin Tucker
Comments: 42 pages, comments welcome, parts of this paper were split off from arXiv:2305.11139, version 2 has minor improvements and new and updated references
Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)
[18] arXiv:2504.06450 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On the Ext Analog of the Euler Characteristic
Benjamin Katz, Andrew J. Soto Levins
Subjects: Commutative Algebra (math.AC)
[19] arXiv:2504.06723 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: 5-dimensional minimal quadratic and bilinear forms over function fields of conics
Adam Chapman, Ahmed Laghribi
Subjects: Commutative Algebra (math.AC)
[20] arXiv:2504.07045 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Support-2 monomial ideals that are Simis
Paromita Bordoloi, Kanoy Kumar Das, Rajiv Kumar
Comments: 15 pages. Comments are welcome!!
Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)
[21] arXiv:2504.07184 (cross-list from math.AC) [cn-pdf, 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)
[22] arXiv:2504.07535 (cross-list from math.AC) [cn-pdf, 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)
[23] arXiv:2504.07536 (cross-list from math.AC) [cn-pdf, 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)
[24] arXiv:2504.07541 (cross-list from math.AC) [cn-pdf, 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)
[25] arXiv:2504.09505 (cross-list from math.AC) [cn-pdf, 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)
[26] arXiv:2504.09703 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Homological invariants of edge ideals of weighted oriented graphs
Trung Chau, Richie Sheng, Deborah Wooton
Comments: are welcome!!! 19 pages. Minor revisions
Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)
[27] arXiv:2504.10019 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Sagbi bases, defining ideals and algebra of minors
Winfried Bruns, Aldo Conca, Francesca Lembo
Comments: References added, typos corrected and exposition improved
Subjects: Commutative Algebra (math.AC)
[28] arXiv:2504.10722 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On GL-domains and the ascent of the IDF property
Victor Gonzalez, Ishan Panpaliya
Comments: 11 pages
Subjects: Commutative Algebra (math.AC)
[29] arXiv:2504.10725 (cross-list from math.AC) [cn-pdf, 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)
[30] arXiv:2504.10841 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Some four-dimensional orthogonal invariants
Shan Ren, Runxuan Zhang
Comments: 12 pages
Subjects: Commutative Algebra (math.AC)
[31] arXiv:2504.11394 (cross-list from math.AC) [cn-pdf, 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)
[32] arXiv:2504.11941 (cross-list from math.AC) [cn-pdf, 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)
[33] arXiv:2504.12019 (cross-list from math.AC) [cn-pdf, 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)
[34] arXiv:2504.12145 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Factorizations of polynomials with integral non-negative coefficients
Federico Campanini, Alberto Facchini
Subjects: Commutative Algebra (math.AC)
[35] arXiv:2504.12146 (cross-list from math.AC) [cn-pdf, 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)
[36] arXiv:2504.12179 (cross-list from math.AC) [cn-pdf, 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)
[37] arXiv:2504.13087 (cross-list from math.AC) [cn-pdf, pdf, other]
Title: The $h$-vectors of toric ideals of odd cycle compositions revisited
Kieran Bhaskara, Adam Van Tuyl, Sasha Zotine
Comments: 9 pages, comments welcome
Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)
[38] arXiv:2504.13566 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Cohomology Vanishing theorems over some rings containing nilpotents
Tony J. Puthenpurakal
Subjects: Commutative Algebra (math.AC)
[39] arXiv:2504.13591 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Generic forms
Ralf Fröberg, Clas Löfwall
Subjects: Commutative Algebra (math.AC)
[40] arXiv:2504.14382 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Monomial retracts of polynomial rings are polynomial rings
Sagnik Chakraborty, Madhuparna Pal
Subjects: Commutative Algebra (math.AC)
[41] arXiv:2504.15200 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On robust toric ideals of weighted oriented graphs
Ramakrishna Nanduri, Tapas Kumar Roy
Comments: Comments are welcome !
Subjects: Commutative Algebra (math.AC)
[42] arXiv:2504.15224 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: On Extension modules of finite homological dimension
Rafael Holanda, Victor H. Jorge-Pérez, Victor D. Mendoza-Rubio
Comments: 22 pages. Comments and suggestions are welcome
Subjects: Commutative Algebra (math.AC)
[43] arXiv:2504.15957 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Kato-Milne cohomology group over rational function fields in characteristic 2, II
Ahmed Laghribi, Trisha Maiti
Subjects: Commutative Algebra (math.AC)
[44] arXiv:2504.16568 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Relatively big projective modules and their applications to direct sum decompositions
Román Álvarez, Dolors Herbera, Pavel Příhoda
Comments: 47 pages
Subjects: Commutative Algebra (math.AC) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)
[45] arXiv:2504.17217 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Algebraic properties of tensor product of modules over a field
Ahad Rahimi
Comments: 19 pages, 1 figure, to appear in Journal of Commutative Algebra
Subjects: Commutative Algebra (math.AC)
[46] arXiv:2504.17957 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Elasticity of Orders with Prime Conductor
Jared Kettinger, Grant Moles
Comments: 12 pages
Subjects: Commutative Algebra (math.AC)
[47] arXiv:2504.18656 (cross-list from math.AC) [cn-pdf, pdf, other]
Title: Limit $F$-signature functions of two-variable binomial hypersurfaces
Anna Brosowsky, Izzet Coskun, Suchitra Pande, Kevin Tucker
Comments: 29 pages, 3 figures. Comments welcome
Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)
[48] arXiv:2504.19492 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: $K_1$-Stability of symplectic modules over monoid algebras
Rabeya Basu, Maria Ann Mathew
Comments: Under review
Subjects: Commutative Algebra (math.AC) ; K-Theory and Homology (math.KT) ; Rings and Algebras (math.RA)
[49] arXiv:2504.19597 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Depth Sensitivity of Hilbert Coefficients
Koji Nishida
Comments: 17 pages
Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)
[50] arXiv:2504.21550 (cross-list from math.AC) [cn-pdf, pdf, html, other]
Title: Application of Betti Splittings to the Regularity of Binomial Edge Ideals
Rajiv Kumar, Paramhans Kushwaha
Subjects: Commutative Algebra (math.AC)
Total of 77 entries : 1-50 51-77
Showing up to 50 entries per page: fewer | more | all