Commutative Algebra

Authors and titles for December 2024

[1] arXiv:2412.00092 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Regularity of deficiency modules through spectral sequences Show Chinese title

Title: 通过谱序列的亏格模的正则性

Alberto F. Boix, Santiago Zarzuela

Comments: 14 pages, comments are welcome

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

[2] arXiv:2412.00399 (cross-list from math.AC) [cn-pdf, pdf, other]

Title: The linkage class of a grade three complete intersection Show Chinese title

Title: 三级完全交的联络类

Lorenzo Guerrieri, Xianglong Ni, Jerzy Weyman

Subjects: Commutative Algebra (math.AC)

[3] arXiv:2412.00590 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Goldbach theorems for group semidomains Show Chinese title

Title: 关于群半域的哥德巴赫定理

Eddy Li, Advaith Mopuri, Charles Zhang

Comments: 14 pages

Subjects: Commutative Algebra (math.AC)

[4] arXiv:2412.00669 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Uniformly dominant local rings and Orlov spectra of singularity categories Show Chinese title

Title: 均匀主导局部环和奇点范畴的Orlov谱

Ryo Takahashi

Comments: 18 pages

Subjects: Commutative Algebra (math.AC) ; Representation Theory (math.RT)

[5] arXiv:2412.01392 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Quasilifting of hulls and depth of tensor product of modules Show Chinese title

Title: 拟提升的包络和模的张量积的深度

Sutapa Dey, Amit Tripathi

Comments: The hypotheses in Theorem 1.2 (a) have been modified to correct a gap in the previous version

Subjects: Commutative Algebra (math.AC)

[6] arXiv:2412.01636 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of (co)homologies Show Chinese title

Title: 某些 Cohen-Macaulay 模的性质以及通过 (同调) 上同调有限消失来判断局部环的条件

Souvik Dey, Dipankar Ghosh, Aniruddha Saha

Comments: comments are welcome!

Subjects: Commutative Algebra (math.AC)

[7] arXiv:2412.02118 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Algebraic properties of Indigenous semirings Show Chinese title

Title: Indigenous半环的代数性质

Hussein Behzadipour, Henk Koppelaar, Peyman Nasehpour

Comments: Minor revision. Some examples and explanations added to the paper

Subjects: Commutative Algebra (math.AC) ; Discrete Mathematics (cs.DM) ; Rings and Algebras (math.RA)

[8] arXiv:2412.03468 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Powers of Edge Ideals with Linear Quotients Show Chinese title

Title: 边理想具有线性商的幂

Etan Basser, Rachel Diethorn, Robert Miranda, Mario Stinson-Maas

Comments: 24 pages; edits to introduction, citations, and notation; removed unnecessary hypothesis in Theorem 3.11; added Remark 3.6

Subjects: Commutative Algebra (math.AC)

[9] arXiv:2412.04195 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Partial Betti splittings with applications to binomial edge ideals Show Chinese title

Title: 部分贝蒂数分解及其在二项式边理想中的应用

A.V. Jayanthan, Aniketh Sivakumar, Adam Van Tuyl

Comments: 26 pages

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

[10] arXiv:2412.04417 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Resurgence number and convex body associated to pairs of graded families of ideals Show Chinese title

Title: 与分次理想族对相关的复兴数和凸体

Tai Huy Ha, A.V. Jayanthan, Arvind Kumar, Thai Thanh Nguyen

Comments: 16 pages; comments welcome

Subjects: Commutative Algebra (math.AC)

[11] arXiv:2412.05261 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Localization of unique factorization semidomains Show Chinese title

Title: 唯一因子分解半域的局部化

Victor Gonzalez, Harold Polo, Pedro Rodriguez

Subjects: Commutative Algebra (math.AC)

[12] arXiv:2412.05860 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules Show Chinese title

Title: 极大 Cohen-Macaulay 模的挠组不变量的渐近行为

Tony J. Puthenpurakal, Samarendra Sahoo

Subjects: Commutative Algebra (math.AC)

[13] arXiv:2412.05945 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The Multiplicity of Powers of a Class of Non-Square-free Monomial Ideals Show Chinese title

Title: 幂的重数的非平方自由单项式理想类

Liuqing Yang, Zexin Wang

Comments: 11 pages

Subjects: Commutative Algebra (math.AC)

[14] arXiv:2412.06230 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On a problem of Amitsur and Small Show Chinese title

Title: 关于阿米图尔和斯莫尔的问题

Elad Paran

Subjects: Commutative Algebra (math.AC)

[15] arXiv:2412.06280 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Annihilator of local cohomology modules under localization and completion Show Chinese title

Title: 局部上同调模在局部化和完备化下的零化子

Nguyen Thi Anh Hang, Le Thanh Nhan

Comments: Updated acknowledgments section to reflect funding support

Subjects: Commutative Algebra (math.AC)

[16] arXiv:2412.06467 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Gapfree graphs and powers of edge ideals with linear quotients Show Chinese title

Title: 无间隙图和具有线性商的边理想幂

Nursel Erey, Sara Faridi, Tài Huy Hà, Takayuki Hibi, Selvi Kara, Susan Morey

Comments: 27 pages, 6 figures

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

[17] arXiv:2412.06659 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Ischebeck's formula, Grade and quasi-homological dimensions Show Chinese title

Title: Ischebeck的公式，阶数和准同调维数

Victor H. Jorge-Pérez, Paulo Martins, Victor D. Mendoza-Rubio

Comments: 20 pages, comments and suggestions are welcome

Subjects: Commutative Algebra (math.AC)

[18] arXiv:2412.07281 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: When the poset of the ideal class monoid of a numerical semigroup is a lattice Show Chinese title

Title: 当数值半群的理想类么半群的偏序集是一个格时

S. Bonzio, P. A. García-Sánchez

Comments: arXiv admin note: text overlap with arXiv:2407.21697

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

[19] arXiv:2412.07546 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Hilbert-Kunz multiplicity of powers of ideals in dimension two Show Chinese title

Title: Hilbert-Kunz 乘数在二维中的理想幂

Alessandro De Stefani, Shreedevi K. Masuti, Maria Evelina Rossi, Jugal K. Verma

Comments: minor fixes

Subjects: Commutative Algebra (math.AC)

[20] arXiv:2412.07602 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the copersistence property and nearly copersistence property of monomial ideals Show Chinese title

Title: 关于单项式理想的共持久性性质和近似共持久性性质

Mehrdad Nasernejad, Jonathan Toledo

Subjects: Commutative Algebra (math.AC)

[21] arXiv:2412.07748 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the gluing of formal schemes Show Chinese title

Title: 关于形式概形的粘合

R. A. Calixto, T. H. Freitas, V. H. Jorge Pérez

Subjects: Commutative Algebra (math.AC)

[22] arXiv:2412.07931 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the Krull dimension of rings of integer-valued rational functions Show Chinese title

Title: 论整值有理函数环的克鲁尔维数

Mohamed Mahmoud Chems-Eddin, Badr Feryouch, Hakima Mouanis, Ali Tamoussit

Comments: To appear in Archiv der Mathematik, DOI : 10.1007/s00013-024-02086-7

Subjects: Commutative Algebra (math.AC)

[23] arXiv:2412.07995 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Building monomial ideals with fixed betti numbers Show Chinese title

Title: 构建具有固定贝蒂数的单项式理想

Sara Faridi, Peilin Li

Comments: 24 pages, 5 figures

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

[24] arXiv:2412.08037 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs Show Chinese title

Title: 某些藤蔓图相关的阶台单项式代数的弱Lefschetz性质

Phan Minh Hung, Nguyen Duy Phuoc, Tran Nguyen Thanh Son

Comments: 12 pages. arXiv admin note: substantial text overlap with arXiv:2310.14368 by other authors

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

[25] arXiv:2412.08423 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the injective dimension of unit Cartier and Frobenius modules Show Chinese title

Title: 单位Cartier和Frobenius模的单射维数

Manuel Blickle, Daniel Fink, Alexandria Wheeler, Wenliang Zhang

Comments: 10 pages

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

[26] arXiv:2412.08621 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The separating Noether number of small groups Show Chinese title

Title: 小群的分离诺特数

M. Domokos, B. Schefler

Subjects: Commutative Algebra (math.AC) ; Group Theory (math.GR) ; Representation Theory (math.RT)

[27] arXiv:2412.08917 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Lefschetz properties through a topological lens Show Chinese title

Title: 通过拓扑视角的Lefschetz性质

Alexandra Seceleanu

Subjects: Commutative Algebra (math.AC)

[28] arXiv:2412.10113 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Sortable simplicial complexes and their associated toric rings Show Chinese title

Title: 可排序的单纯复形及其相关的环纹

Antonino Ficarra, Somayeh Moradi

Subjects: Commutative Algebra (math.AC)

[29] arXiv:2412.10335 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Regular Edges, Matchings and Hilbert Series Show Chinese title

Title: 常规边，匹配和Hilbert级数

Joseph Brennan, Susan Morey

Subjects: Commutative Algebra (math.AC)

[30] arXiv:2412.10696 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Equality of elementary symplectic group and symplectic group Show Chinese title

Title: 初等辛群与辛群的相等性

Ruddarraju Amrutha, Pratyusha Chattopadhyay

Subjects: Commutative Algebra (math.AC)

[31] arXiv:2412.11199 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Arithmetic properties encoded in undermonoids Show Chinese title

Title: 在下独子半群中的算术性质

Felix Gotti, Bangzheng Li

Comments: 18 pages

Subjects: Commutative Algebra (math.AC)

[32] arXiv:2412.11235 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Symbolic powers of the generic linkage of maximal minors Show Chinese title

Title: 关于最大极小项通用链接的符号幂

Vaibhav Pandey, Matteo Varbaro

Comments: 25 pages, 4 figures; comments welcome!

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

[33] arXiv:2412.11843 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Monomial ideals with minimal generalized Barile-Macchia resolutions Show Chinese title

Title: 具有最小广义Barile-Macchia分解的单项式理想

Trung Chau, Huy Tai Ha, Aryaman Maithani

Comments: are welcome! 17 pages

Subjects: Commutative Algebra (math.AC)

[34] arXiv:2412.12860 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Show Chinese title

Title: Stanley-Reisner 环在去心谱上为 Gorenstein 的规范迹

Sora Miyashita, Matteo Varbaro

Comments: We dedicate this work with our deepest gratitude to the memory of Professor J\"urgen Herzog (1941-2024)

Subjects: Commutative Algebra (math.AC)

[35] arXiv:2412.13424 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Remarks on retracts of polynomial rings in three variables in any characteristic Show Chinese title

Title: 三变量多项式环的收缩 Remarks

Hideo Kojima, Takanori Nagamine, Riko Sasagawa

Comments: 14 pages

Subjects: Commutative Algebra (math.AC)

[36] arXiv:2412.14904 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the set of associated radicals of powers of monomial ideals Show Chinese title

Title: 幂的单项式理想的关联根的集合

Nguyen Thu Hang, Truong Thi Hien

Comments: 15 pages

Subjects: Commutative Algebra (math.AC)

[37] arXiv:2412.15368 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers Show Chinese title

Title: 滤过次数的方程的Rees模及其与Artin-Rees数的联系

Philippe Gimenez, Francesc Planas-Vilanova

Subjects: Commutative Algebra (math.AC)

[38] arXiv:2412.16237 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Filtered colimits of complete intersection algebras Show Chinese title

Title: 滤子余极限的完全交代数

Dorin Popescu

Comments: To appear in Rev. Roum. Math. Pures Appl., {\bf 70}, No 1 (2025)

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

[39] arXiv:2412.16618 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On torsion-free modules and semi-hereditary rings Show Chinese title

Title: 关于无挠模和半遗传环

Ryoya Ando

Comments: 10 pages

Subjects: Commutative Algebra (math.AC)

[40] arXiv:2412.17320 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Ideal transition systems Show Chinese title

Title: 理想转换系统

Eric Marberg, Brendan Pawlowski

Comments: 29 pages, 2 figures

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

[41] arXiv:2412.18369 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Efficiently Checking Separating Indeterminates Show Chinese title

Title: 高效检查分离不定元

Bernhard Andraschko, Martin Kreuzer, Le Ngoc Long

Comments: 28 pages, 1 figure

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

[42] arXiv:2412.18499 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Koszul Graded Möbius Algebras and Strongly Chordal Graphs Show Chinese title

Title: 科斯祖尔分次莫比乌斯代数与强弦图

Adam LaClair, Matthew Mastroeni, Jason McCullough, Irena Peeva

Comments: 28 pages, to appear in Selecta Mathematica

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

[43] arXiv:2412.18694 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Viewing Quasi-Coherent Sheaves of Ideals as Ideals of a Ring Show Chinese title

Title: 将拟凝聚理想层视为环的理想

Ayçin Iplikçi Arodirik

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

[44] arXiv:2412.18841 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Splitting the difference: Computations of the Reynolds operator in classical invariant theory Show Chinese title

Title: 差值分割：经典不变量理论中雷诺兹算子的计算

Aryaman Maithani

Comments: 19 pages. This is the final version of the article

Subjects: Commutative Algebra (math.AC) ; Representation Theory (math.RT)

[45] arXiv:2412.19224 (cross-list from math.AC) [cn-pdf, pdf, other]

Title: On the Equality $\sum_{j} e_jf_j=[L:K]$ \vspace{2mm} On the Equality $\sum_{j} e_jf_j=[L:K]$ for a Finite Separable Extension $L$ of $K$ Show Chinese title

Title: 关于等式$\sum_{j} e_jf_j=[L:K]$ \vspace{2mm} 关于等式$\sum_{j} e_jf_j=[L:K]$对于有限可分扩张$L$的$K$

Norio Adachi

Comments: I was informed that result in my paper contains contaradiction, so that I want to study the situation more deeply

Subjects: Commutative Algebra (math.AC)

[46] arXiv:2412.19799 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Computing Direct Sum Decompositions Show Chinese title

Title: 计算直接和分解

Devlin Mallory, Mahrud Sayrafi

Comments: 18 pages, added non-recursive characteristic-free algorithm. To appear in Journal of Symbolic Computation

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

[47] arXiv:2412.21031 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The homological shift algebra of a monomial ideal Show Chinese title

Title: 单项式理想的同调移位代数

Antonino Ficarra, Ayesha Asloob Qureshi

Comments: Dedicated with deep gratitude to the memory of Professor J\"urgen Herzog, inspiring mathematician and master of monomials. Some references fixed

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

[48] arXiv:2412.21120 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: A family of simplicial resolutions which are DG-algebras Show Chinese title

Title: 一个单形分解的族，这些分解是DG-代数

James Cameron, Trung Chau, Sarasij Maitra, Tim Tribone

Comments: are welcome. 18 pages. Dedicated to J\"urgen Herzog

Subjects: Commutative Algebra (math.AC)

[49] arXiv:2412.00454 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Positioned and primary positioned $\mathcal{C}$-semigroups Show Chinese title

Title: 定位的和主要定位的$\mathcal{C}$-半群

Carmelo Cisto, Raquel Tapia-Ramos

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

[50] arXiv:2412.00616 (cross-list from math.LO) [cn-pdf, pdf, html, other]

Title: The transcendence degree of the reals over certain set-theoretical subfields Show Chinese title

Title: 实数在某些集合论子域上的超越次数

Azul Fatalini, Ralf Schindler

Comments: 19 pages, 3 figures. Comments are welcome

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