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Commutative Algebra

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Total of 54 entries : 1-50 51-54
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Fri, 16 Oct 2026 (showing 11 of 11 entries )

[1] arXiv:2610.22104 [pdf, html, other]
Title: The asymptotic surjective number and F-surjective signature
Ilya Smirnov, Kevin Tucker
Comments: 24 pages
Subjects: Commutative Algebra (math.AC)
[2] arXiv:2610.22078 [pdf, html, other]
Title: Direct products of Gorenstein flat modules over coherent rings
Guocheng Dai, Jiangsheng Hu
Subjects: Commutative Algebra (math.AC); Rings and Algebras (math.RA)
[3] arXiv:2610.21866 [pdf, html, other]
Title: Edge ideals of gapfree graphs with matching number $3$
Nursel Erey, Tài Huy Hà, Takayuki Hibi, Selvi Kara, Susan Morey
Comments: 25 pages followed by an appendix
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)
[4] arXiv:2610.21544 [pdf, html, other]
Title: On the variety of sum of powers of certain complete intersection forms
Meghana Bhat, Ronnie Sebastian
Comments: Comments are welcome!
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[5] arXiv:2610.21039 [pdf, html, other]
Title: Holomorphy rings and the Nullstellensatz over large fields
Pablo Cubides Kovacsics, Sebastián Uribe Rincón
Comments: Comments welcomed!
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[6] arXiv:2610.20884 [pdf, html, other]
Title: Commutative rings with square-difference factor absorbing factorization
Malik Tusif Ahmed, Hafnaoui Hidouri, Ahmed Hamed
Comments: 11 pages
Subjects: Commutative Algebra (math.AC)
[7] arXiv:2610.22251 (cross-list from math.AG) [pdf, html, other]
Title: Deterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers
Amir Hashemi, Rozhin Sadr, Werner M. Seiler
Comments: 26 pages, submitted
Subjects: Algebraic Geometry (math.AG); Symbolic Computation (cs.SC); Commutative Algebra (math.AC)
[8] arXiv:2610.22161 (cross-list from math.AG) [pdf, html, other]
Title: Gluing weak approximability along recollements
Pat Lank
Comments: v1, comments welcome!
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Category Theory (math.CT); Representation Theory (math.RT)
[9] arXiv:2610.22059 (cross-list from math.AG) [pdf, html, other]
Title: Perfectoid Pure and Signature Pairs
Hanlin Cai, Anne Fayolle, Linquan Ma, Karl Schwede, Ilya Smirnov, Kevin Tucker, Joe Waldron
Comments: 84 pages, comments welcome!!!
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)
[10] arXiv:2610.21217 (cross-list from math.CO) [pdf, html, other]
Title: Strong Lefschetz property of the Kirchhoff algebra of the complete tripartite graph $K_{1,1,n}$
Yohji Akama
Comments: 11 pages, 3 figure
Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC)
[11] arXiv:2610.20649 (cross-list from math.CO) [pdf, html, other]
Title: Cotangent cohomology and higher-order obstructions of matroids
Qihang Wang
Comments: 56 pages. Supplementary verification code and finite certificates included. An earlier version (Zenodo v3) was published on 23 September 2026: this https URL . This version adds higher-order obstruction results
Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC)

Thu, 15 Oct 2026 (showing 3 of 3 entries )

[12] arXiv:2610.20565 [pdf, html, other]
Title: Minimal Resolutions of $k$-divisible and $(k-1)$-dominant Ideals
Patrick Welte, Guillermo Alesandroni
Comments: 10 pages
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)
[13] arXiv:2610.20183 [pdf, html, other]
Title: Macdonald dual in the semilocal case and applications to local homology and local cohomology
Antonival Lopes do Nascimento Filho
Subjects: Commutative Algebra (math.AC)
[14] arXiv:2610.20060 [pdf, html, other]
Title: Finitistic dimensions of formal power series rings
Xiaolei Zhang, Weiheng Xia
Subjects: Commutative Algebra (math.AC)

Wed, 14 Oct 2026 (showing 24 of 24 entries )

[15] arXiv:2610.18620 [pdf, html, other]
Title: On the existence of Gorenstein injective covers
Yuhui Hua, Shun-Jie Li, Chencheng Zhang
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[16] arXiv:2610.18394 [pdf, html, other]
Title: Improved Upper Bounds for the Rank of the Determinant Tensor via Glynn's Formula
Jeong-Hoon Ju, Hayoung Choi, Taehyeong Kim
Comments: 10 pages
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[17] arXiv:2610.18346 [pdf, html, other]
Title: Waring rank of certain complete intersection forms
Meghana Bhat, Enrico Carlini, Shreedevi K. Masuti, Ronnie Sebastian
Comments: Comments are welcome!
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[18] arXiv:2610.18213 [pdf, html, other]
Title: Combinatorial bounds for the v-number of binomial edge ideals
Emiliano Liwski
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)
[19] arXiv:2610.17784 [pdf, html, other]
Title: Asymptotic Lech Bounds and Bertini Flags
Hong-Ge Chen, Fei Liu
Comments: 32 pages
Subjects: Commutative Algebra (math.AC)
[20] arXiv:2610.16951 [pdf, html, other]
Title: Solomon--Terao Algebras: Top Degree, Dimension, and Homology
Hanyu Cai, Haiyang Chen, Shixuan Zeng, Shanwei Zhang
Comments: 19 pages
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG); Combinatorics (math.CO)
[21] arXiv:2610.16685 [pdf, html, other]
Title: Characterizations of t-Almost Dedekind Domains via w-Secondary Modules
Hwankoo Kim, Hyungtae Baek, Haleh Hamdi
Subjects: Commutative Algebra (math.AC)
[22] arXiv:2610.16178 [pdf, html, other]
Title: On Z-Noetherian Rings
Ambar Dubey, Tushar Singh, Shiv Datt Kumar
Subjects: Commutative Algebra (math.AC)
[23] arXiv:2610.15869 [pdf, html, other]
Title: Semiprime and real submodules of arbitrary modules are intersections of prime and real prime submodules
Jakob Cimprič
Comments: 10 pages, submitted
Subjects: Commutative Algebra (math.AC); Rings and Algebras (math.RA)
[24] arXiv:2610.15454 [pdf, html, other]
Title: An overring characterization of Gorenstein Prüfer domains
Hwankoo Kim
Subjects: Commutative Algebra (math.AC)
[25] arXiv:2610.15444 [pdf, html, other]
Title: Gorenstein Prüfer domains with non-Prüfer integral closure
Hwankoo Kim
Subjects: Commutative Algebra (math.AC)
[26] arXiv:2610.15442 [pdf, html, other]
Title: On modular vector invariant fields
Ying Han, Runxuan Zhang
Comments: 5 pages
Journal-ref: Algebra Colloquium 27:4 (2020) 749--752
Subjects: Commutative Algebra (math.AC)
[27] arXiv:2610.15261 [pdf, html, other]
Title: Some Remarks on Regular Sequences and Complete Intersections
Manolis C. Tsakiris
Comments: 5 pages
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[28] arXiv:2610.14973 [pdf, html, other]
Title: A lower bound on $\text{depth} \ \mathbf{A/I^n}$
Tony J. Puthenpurakal
Subjects: Commutative Algebra (math.AC)
[29] arXiv:2610.13984 [pdf, html, other]
Title: Splitting of projective modules over some affine algebras
Subarna Mandal
Subjects: Commutative Algebra (math.AC)
[30] arXiv:2610.17875 (cross-list from math.AG) [pdf, html, other]
Title: Geometric and homological interpretations of tensor flattenings
Matěj Doležálek, Jakub Jagiełła, Piotr Oszer, Tim Seynnaeve, Colin Stastny
Comments: 21 pages
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)
[31] arXiv:2610.17441 (cross-list from math.CO) [pdf, html, other]
Title: Linear Laurent phenomenon algebras are of finite type
Oliver Daisey
Comments: 16 pages. Comments welcome
Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC); Rings and Algebras (math.RA); Representation Theory (math.RT)
[32] arXiv:2610.16350 (cross-list from math.AG) [pdf, html, other]
Title: Generalizing Green's Syzygy Theorems to Symmetric Products of Curves
Wenbo Niu, Peter Yi Wei
Comments: 20 pages, comments are welcome!
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)
[33] arXiv:2610.15971 (cross-list from math.CO) [pdf, html, other]
Title: The $λ$-chain condition for unit interval determinantal fiber rings
Takayuki Hibi, Sora Miyashita
Comments: 5 pages, 1 figure
Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC)
[34] arXiv:2610.15887 (cross-list from math.AG) [pdf, html, other]
Title: Hilbert's Nullstellensatz and the real Nullstellensatz for modules and sheaves
Jakob Cimprič
Comments: 29 pages, submitted
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Rings and Algebras (math.RA)
[35] arXiv:2610.14931 (cross-list from math.CT) [pdf, html, other]
Title: Local coherence and recollement of abelian categories
Mikhail Dusman, Alexander Pavlov
Subjects: Category Theory (math.CT); Commutative Algebra (math.AC); Rings and Algebras (math.RA)
[36] arXiv:2610.14417 (cross-list from math.LO) [pdf, html, other]
Title: A Nullstellensatz for the field of complex Laurent series
Pablo Cubides Kovacsics, Sebastián Uribe Rincón
Comments: Comments welcome!
Subjects: Logic (math.LO); Commutative Algebra (math.AC)
[37] arXiv:2610.14083 (cross-list from math.AG) [pdf, html, other]
Title: Analytic Criteria for Detecting Bernstein-Sato Roots
Yifan Chen, Huaiqing Zuo
Comments: 14 pages
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)
[38] arXiv:2610.14060 (cross-list from math.RA) [pdf, html, other]
Title: Linear maps preserving the matrix discriminant. An enhanced approach
Andrey Yurkov
Subjects: Rings and Algebras (math.RA); Commutative Algebra (math.AC); Functional Analysis (math.FA)

Mon, 12 Oct 2026 (showing 8 of 8 entries )

[39] arXiv:2610.13888 [pdf, html, other]
Title: Counterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim Multiplicities
V. H. Jorge Perez
Subjects: Commutative Algebra (math.AC)
[40] arXiv:2610.13450 [pdf, html, other]
Title: A complex associated to a family of ideals and applications to subspace arrangements
Aldo Conca, Manolis C. Tsakiris
Comments: 11 pages
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
[41] arXiv:2610.12777 [pdf, html, other]
Title: On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Subjects: Commutative Algebra (math.AC)
[42] arXiv:2610.12675 [pdf, html, other]
Title: Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
Comments: 51 pages
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO); Representation Theory (math.RT)
[43] arXiv:2610.13469 (cross-list from math.AG) [pdf, html, other]
Title: Quillen's local parameter conjecture in dimension four
Yunpeng Li
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); K-Theory and Homology (math.KT)
[44] arXiv:2610.13291 (cross-list from math.AG) [pdf, html, other]
Title: Geometry of some determinantal arrangements
Marek Janasz
Comments: 20 pages
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)
[45] arXiv:2610.12492 (cross-list from math.RT) [pdf, html, other]
Title: Generating Sets for the Kernels of Frobenius Polarization Operators
Naoya Yamaguchi
Subjects: Representation Theory (math.RT); Commutative Algebra (math.AC)
[46] arXiv:2610.12478 (cross-list from math.RA) [pdf, html, other]
Title: Operator Algebras and Their Applications
Vitalii Shpakivskyi
Subjects: Rings and Algebras (math.RA); Mathematical Physics (math-ph); Commutative Algebra (math.AC); Complex Variables (math.CV)

Fri, 9 Oct 2026 (showing first 4 of 8 entries )

[47] arXiv:2610.12191 [pdf, html, other]
Title: Polycubes and polycube ideals
Ayesha Asloob Qureshi, Dharm Veer
Comments: 28 pages, 13 figures
Subjects: Commutative Algebra (math.AC)
[48] arXiv:2610.12120 [pdf, html, other]
Title: Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings
Tony J. Puthenpurakal
Comments: comments welcome
Subjects: Commutative Algebra (math.AC)
[49] arXiv:2610.11708 [pdf, html, other]
Title: Equivariant noncommutative crepant resolutions and $G$-maximal modifying modules
Yuki Hirano
Comments: 26 pages. Typos and minor errors pointed out by ChatGPT were fixed
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[50] arXiv:2610.11032 [pdf, html, other]
Title: Frobenius splitting of valuation rings revisited
Rankeya Datta, Karen E. Smith
Comments: 17 pages, comments welcome!
Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)
Total of 54 entries : 1-50 51-54
Showing up to 50 entries per page: fewer | more | all