Commutative Algebra

Authors and titles for math.AC in Mar 2024

[1]  arXiv:2403.00518 [pdf, ps, other]

Title: Quadratic functions as solutions of polynomial equations

Authors: Eszter Gselmann, Mehak Iqbal

Comments: arXiv admin note: text overlap with arXiv:2212.10115, arXiv:2211.03605

Subjects: Commutative Algebra (math.AC); Classical Analysis and ODEs (math.CA)

[2]  arXiv:2403.01016 [pdf, ps, other]

Title: Realizing Algebra Structures on Free Resolutions of Grade 3 Perfect Ideals

Authors: Alexis Hardesty

Subjects: Commutative Algebra (math.AC)

[3]  arXiv:2403.01096 [pdf, ps, other]

Title: A binary tree of complete intersections with the strong Lefschetz property

Authors: Tadahito Harima, Satoru Isogawa, Junzo Watanabe

Comments: 24 pages

Subjects: Commutative Algebra (math.AC)

[4]  arXiv:2403.02493 [pdf, ps, other]

Title: The class of Gorenstein injective modules is covering if and only if it is closed under direct limits

Authors: Alina Iacob

Comments: arXiv admin note: text overlap with arXiv:1512.05999 by other authors

Subjects: Commutative Algebra (math.AC)

[5]  arXiv:2403.02557 [pdf, ps, other]

Title: Counting lattice points that appear as algebraic invariants of Cameron-Walker graphs

Authors: Sara Faridi, Iresha Madduwe Hewalage

Comments: 16 pages, 4 figures

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

[6]  arXiv:2403.02876 [pdf, ps, other]

Title: Characterization and Non-cancellation property of Danielewski type varieties

Authors: Parnashree Ghosh, Dibyendu Mondal

Comments: 23 pages. All comments are welcome

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

[7]  arXiv:2403.03609 [pdf, ps, other]

Title: Powers of edge ideals of edge-weighted trees

Authors: Jiaxin Li, Guangjun Zhu, Shiya Duan

Subjects: Commutative Algebra (math.AC)

[8]  arXiv:2403.04676 [pdf, ps, other]

Title: When every S-flat module is (flat) projective

Authors: Driss Bennis, Ayoub Bouziri

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

[9]  arXiv:2403.04903 [pdf, ps, other]

Title: Classical semirings

Authors: Hussein Behzadipour, Henk Koppelaar, Peyman Nasehpour

Comments: 17 pages

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

[10]  arXiv:2403.04972 [pdf, ps, other]

Title: On Abelian extensions in mixed characteristic and ramification in codimension one

Authors: Daniel Katz, Prashanth Sridhar

Comments: 21 pages

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

[11]  arXiv:2403.05097 [pdf, ps, other]

Title: Equivalences of stable categories of Gorenstein local rings

Authors: Tony J. Puthenpurakal

Subjects: Commutative Algebra (math.AC)

[12]  arXiv:2403.05207 [pdf, ps, other]

Title: Bass numbers and endomorphism rings of Gorenstein injective modules

Authors: Reza Sazeedeh

Subjects: Commutative Algebra (math.AC)

[13]  arXiv:2403.05324 [pdf, ps, other]

Title: A Characterization of Weighted Homogeneous Polynomials via the Discriminant

Authors: David Bradley-Williams, Pablo Cubides Kovacsics, Immanuel Halupczok

Comments: Comments welcomed!

Subjects: Commutative Algebra (math.AC)

[14]  arXiv:2403.05439 [pdf, ps, other]

Title: Scarf complexes of graphs and their powers

Authors: Sara Faridi, Tài Huy Hà, Takayuki Hibi, Susan Morey

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

[15]  arXiv:2403.05445 [pdf, ps, other]

Title: The minimum distance of a parameterized code over an even cycle

Authors: Eduardo Camps-Moreno, Jorge Neves, Eliseo Sarmiento

Subjects: Commutative Algebra (math.AC); Information Theory (cs.IT); Algebraic Geometry (math.AG)

[16]  arXiv:2403.05492 [pdf, other]

Title: The Strong Lefschetz Property of Gorenstein Algebras Generated by Relative Invariants

Authors: Takahiro Nagaoka, Akihito Wachi

Comments: 12 pages

Subjects: Commutative Algebra (math.AC)

[17]  arXiv:2403.06219 [pdf, other]

Title: Affine Semigroup Algebras And Their Fibered Sums

Authors: C-Y. Jean Chan, I-Chiau Huang, Jung-Chen Liu

Subjects: Commutative Algebra (math.AC)

[18]  arXiv:2403.06415 [pdf, ps, other]

Title: Elimination by Substitution

Authors: Martin Kreuzer, Lorenzo Robbiano

Comments: 26 pages

Subjects: Commutative Algebra (math.AC)

[19]  arXiv:2403.06743 [pdf, ps, other]

Title: PolyominoIdeals: a package for Macaulay2 to work with the inner $2$-minor ideals of collections of cells

Authors: Cisto Carmelo, Rizwan Jahangir, Francesco Navarra

Comments: In this draft we explain the usage of the package $\texttt{PolyominoIdeals}$ for $\texttt{Macaulay2}$ and we give some examples. Look at $\textit{this https URL}$ to get the input data for $\texttt{Macaulay2}$. In this initial phase, the aim is to provide some basic functions to study the polyomino ideals. Anyway the package is in progress and every contribution is very welcome as well!

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

[20]  arXiv:2403.07098 [pdf, ps, other]

Title: A universal tale of determinants and Gröbner bases

Authors: Aldo Conca

Comments: Written on the occasion of Bernd Sturmfels' sixtieth birthday conference (2022) and dedicated to him

Subjects: Commutative Algebra (math.AC)

[21]  arXiv:2403.08128 [pdf, ps, other]

Title: Singular loci of algebras over ramified discrete valuation rings

Authors: Nawaj KC

Subjects: Commutative Algebra (math.AC)

[22]  arXiv:2403.08435 [pdf, ps, other]

Title: Asymptotic behaviour of integer programming and the $\text{v}$-function of a graded filtration

Authors: Antonino Ficarra, Emanuele Sgroi

Comments: Updated the bibliography, added our thanks to A. Vanmathi and P. Sarkar for their careful reading of the paper and pointing out some inaccuracies in a previous version of the manuscript, and added an answer to Problem 5.2 recently solved in their preprint arXiv:2403.09175

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

[23]  arXiv:2403.08751 [pdf, other]

Title: Cyclotomic Factors and LRS-Degeneracy

Authors: John Abbott, Nico Mexis

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

[24]  arXiv:2403.09149 [pdf, ps, other]

Title: $2$-Periodic complexes over regular local rings

Authors: Tony J. Puthenpurakal

Subjects: Commutative Algebra (math.AC)

[25]  arXiv:2403.09175 [pdf, other]

Title: $v$-numbers of symbolic power filtrations

Authors: Vanmathi A, Parangama Sarkar

Comments: Major revision, new results were added in Section 3 and Section 4, and the title was changed

Subjects: Commutative Algebra (math.AC)