Commutative Algebra

Authors and titles for math.AC in Sep 2023

[1]  arXiv:2309.00609 [pdf, ps, other]

Title: Higher resonance schemes and Koszul modules of simplicial complexes

Authors: Marian Aprodu, Gavril Farkas, Claudiu Raicu, Alessio Sammartano, Alexander I. Suciu

Comments: 17 pages; accepted for publication in Journal of Algebraic Combinatorics

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

[2]  arXiv:2309.01414 [pdf, ps, other]

Title: Structures of the Length Seven Power Sum Decompositions of Ternary Quartics

Authors: Alessandro De Paris

Comments: v2: a small piece of information added in the Introduction, in the Bibliography and on affiliation

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

[3]  arXiv:2309.01573 [pdf, ps, other]

Title: Ideals as generalized prime ideal factorization of submodules

Authors: K. R. Thulasi, T. Duraivel, S. Mangayarcarassy

Subjects: Commutative Algebra (math.AC)

[4]  arXiv:2309.01677 [pdf, ps, other]

Title: Ideals with componentwise linear powers

Authors: Takayuki Hibi, Somayeh Moradi

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

[5]  arXiv:2309.01687 [pdf, other]

Title: Derived Complete Complexes at Weakly Proregular Ideals

Authors: Amnon Yekutieli

Comments: This version: 27 pages. Added some new theorems, deleted redundant material, improved presentation

Subjects: Commutative Algebra (math.AC); Category Theory (math.CT); K-Theory and Homology (math.KT)

[6]  arXiv:2309.02372 [pdf, ps, other]

Title: Ascent and descent of Gorenstein homological properties

Authors: Jian Liu, Wei Ren

Comments: 21 pages, Any comments are welcome! v2, no changes, add some acknowledgements

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

[7]  arXiv:2309.02414 [pdf, ps, other]

Title: Cohen-Macaulay weighted chordal graphs

Authors: Shuai Wei

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

[8]  arXiv:2309.02644 [pdf, ps, other]

Title: The Scarf complex and betti numbers of powers of extremal ideals

Authors: Sabine El Khoury, Sara Faridi, Liana Sega, Sandra Spiroff

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

[9]  arXiv:2309.02880 [pdf, ps, other]

Title: Homogeneity of the Jacobson radical and idempotents in a graded ring

Authors: Abolfazl Tarizadeh

Comments: 10 pages

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG); Group Theory (math.GR); Rings and Algebras (math.RA)

[10]  arXiv:2309.04936 [pdf, ps, other]

Title: On generalized fraction and power series properties of $\mathcal{S}$-Noetherian rings

Authors: Xiaolei Zhang

Subjects: Commutative Algebra (math.AC)

[11]  arXiv:2309.05011 [pdf, ps, other]

Title: Depth of powers of edge ideals of Cohen-Macaulay trees

Authors: Nguyen Thu Hang, Truong Thi Hien, Thanh Vu

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

[12]  arXiv:2309.05056 [pdf, other]

Title: Cohen-Macaulay edge-weighted graphs of girth $5$ or greater

Authors: Truong Thi Hien

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

[13]  arXiv:2309.05293 [pdf, ps, other]

Title: Diagonal tensor algebra and naive liftings

Authors: Saeed Nasseh, Maiko Ono, Yuji Yoshino

Comments: 20 pages

Subjects: Commutative Algebra (math.AC)

[14]  arXiv:2309.06074 [pdf, ps, other]

Title: Classifying preaisles of derived categories of complete intersections

Authors: Ryo Takahashi

Comments: 33 pages

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

[15]  arXiv:2309.06871 [pdf, ps, other]

Title: Deformations of local Artin rings via Hilbert-Burch matrices

Authors: Roser Homs, Anna-Lena Winz

Comments: 18 pages

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

[16]  arXiv:2309.07286 [pdf, ps, other]

Title: Initially Regular Sequences on Cycles and Depth of Unicyclic Graphs

Authors: Le Tran

Comments: 18 pages, submitted for publication, comments welcome

Subjects: Commutative Algebra (math.AC)

[17]  arXiv:2309.07331 [src]

Title: Test ideal restricted to principal ideals and connections to trace ideals

Authors: Souvik Dey

Comments: There is an overlap of result similar to Theorem 1.2 proved by other authors

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

[18]  arXiv:2309.07587 [pdf, ps, other]

Title: The edge rings of compact graphs

Authors: Zexin Wang, Dancheng Lu

Comments: 26 pages

Subjects: Commutative Algebra (math.AC)

[19]  arXiv:2309.07901 [pdf, ps, other]

Title: ACC for $F$-signature: a likely counterexample

Authors: Clay Adams, Theodore J. Sandstrom, Austyn Simpson

Comments: Written during the 2023 SMALL REU at Williams College. 16 pages. Comments welcome

Subjects: Commutative Algebra (math.AC)

[20]  arXiv:2309.07965 [pdf, ps, other]

Title: A survey on relative Lipschitz saturation of algebras and its relation with radicial algebras

Authors: Thiago da Silva, Guilherme Schultz Netto

Subjects: Commutative Algebra (math.AC)

[21]  arXiv:2309.08202 [pdf, ps, other]

Title: The reduced divisor class group and the torsion number

Authors: Jürgen Herzog, Takayuki Hibi

Subjects: Commutative Algebra (math.AC)

[22]  arXiv:2309.08819 [pdf, ps, other]

Title: The Cohen-Macaulay type of edge-weighted r-path ideals

Authors: Shuai Wei

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

[23]  arXiv:2309.09188 [pdf, ps, other]

Title: Simon Conjecture and the $\text{v}$-number of monomial ideals

Authors: Antonino Ficarra

Comments: arXiv admin note: substantial text overlap with arXiv:2306.14243v1

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

[24]  arXiv:2309.09221 [pdf, ps, other]

Title: Comparing generalized Gorenstein properties in semi-standard graded rings

Authors: Sora Miyashita

Comments: 16 pages, comments are appreciated!

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

[25]  arXiv:2309.09259 [pdf, ps, other]

Title: The dual of z-submodules of modules and some of extensions

Authors: F. Farshadifar, A. Molkhasi, E. Nazari

Subjects: Commutative Algebra (math.AC)