arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-05/

1. Quasi-Gorenstein morphisms of commutative local dg-algebras
2. Frobenius identities for the volume map on Cohen--Macaulay rings
3. Toric rings of signed posets and conic divisorial ideals via matroid theory
4. Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
5. Veronese Avoiding Hypersurfaces
6. Non-abelian extensions of Hom-Jacobi-Jordan algebras

arXiv math.ACの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-04/

1. Elimination Templates in Macaulay2
2. Trace ideals of exterior powers of the module of differentials
3. On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
4. Delta characters and crystalline cohomology of abelian schemes

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-01/

1. Reverse Tableaux and the Surjectivity of the Component Map in Type $A$
2. Syzygies of the transfer ideal of the symmetric group
3. Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$
4. Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
5. Polynomial and spectra factorization of graphs obtained by iteration the operad of generalized graph composition

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-30/

1. On $S$-Noetherian Lattices
2. k[x]-modules and Core-Nilpotent endomorphisms
3. On the binary relations defined using GD1 and 1GD inverses over infinite dimensional vector spaces
4. Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
5. Rota-Baxter Operators on Dual Quaternion Algebra
6. Causal Edge Rees Algebras for Spatiotemporal Graphs
7. On main eigenvalues of zero-divisor graphs of reduced rings

arXiv math.ACの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-29/

1. Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
2. A local-global correspondence for perfectoid purity
3. Additive index and Carlitz rank

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-28/

1. Associated primes of powers of closed neighborhood ideals and diameters of graphs
2. A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
3. Finite projective dimension and a question of Jorgensen
4. On the minimal dimension of maximal commutative subalgebras of $M_6(k)$
5. Topological and differentiable aspects of Clifford semigroups
6. On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
7. Boundary $h^\ast$-vectors and unimodular triangulations

arXiv math.ACの新着論文1本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-27/

1. Numerical Semigroups with $a_e = 2g+1$

arXiv math.ACの新着論文1本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-24/

1. Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-23/

1. Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
2. New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
3. Multiple Tor modules: rigidity and Mayer-Vietoris spectral sequences
4. On the regularity index of the minimum distance function in projective nested Cartesian codes
5. On $S$-Prime Element Principle
6. $F$-finite schemes have a dualizing complex
7. Higher rank Gelfand-Kapranov-Zelevinsky fans

arXiv math.ACの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-22/

1. Geometry of numbers and degree bounds for rational invariants
2. Change-of-Rings Theorems for the Small Finitistic Dimension
3. The reciprocal complement of a surface
4. Powers of Edge Ideals of Prime Ideal Graphs: Generators, Primary Decomposition, and Linear Powers