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プレプリどんどん: math.AC

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arXivのmath. AC (可換環論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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Επεισόδια

単項式イデアルと正則性と不変量とテンソル - 2026/10/20の論文15本 20.10.2026

arXiv math. ACの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-20/ Sumsets regularity versus Castelnuovo-Mumford regularity for monomial curves Bounded powers of edge ideals: Nearly Gorenstein polytopes Unique Factorization of Power Series Rings over Q-UFDs of Dimension at Most 3 Every commutative perfect ring is a quotient of an almost per...

環の構造と理想の分解 - 2026/10/19の論文6本 19.10.2026

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/2026-10-19/ A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes Regularity, depth and Serre depth of symbolic powers of complementary edge ideals Locally Gorenstein algebras, a generalization of Gorenstein algebras Dg models for derived differential operators LCM Splitti...

コホモロジーとグラフの特性 - 2026/10/16の論文11本 16.10.2026

arXiv math. ACの新着論文11本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-16/ Commutative rings with square-difference factor absorbing factorization Holomorphy rings and the Nullstellensatz over large fields On the variety of sum of powers of certain complete intersection forms Edge ideals of gapfree graphs with matching number $3$ Direct products of...

形式的冪級数と局所ホモロジーと最小解 - 2026/10/15の論文3本 15.10.2026

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/2026-10-15/ Finitistic dimensions of formal power series rings Macdonald dual in the semilocal case and applications to local homology and local cohomology Minimal Resolutions of $k$-divisible and $(k-1)$-dominant Ideals

Gorensteinとモジュールとテンソルとヌルシュタンス - 2026/10/14の論文24本 14.10.2026

arXiv math. ACの新着論文24本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-14/ On the existence of Gorenstein injective covers Improved Upper Bounds for the Rank of the Determinant Tensor via Glynn's Formula Waring rank of certain complete intersection forms Combinatorial bounds for the v-number of binomial edge ideals Asymptotic Lech Bounds and Bertin...

行列式多様体と配置 - 2026/10/12の論文8本 12.10.2026

arXiv math. ACの新着論文8本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-12/ Hook algebras and determinantal varieties On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras A complex associated to a family of ideals and applications to subspace arrangements Counterexamples to Minkowski-type inequalities and the Rees conve...

構造とサイクルと群の性質 - 2026/10/9の論文8本 09.10.2026

arXiv math. ACの新着論文8本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-09/ Frobenius splitting of valuation rings revisited Equivariant noncommutative crepant resolutions and $G$-maximal modifying modules Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings Polycubes and polycube ideals Infinite girth and profinite properties...

複体とイデアルと構造的性質 - 2026/10/8の論文7本 08.10.2026

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/2026-10-08/ Structural properties of admissible subgraphs and the depth of symbolic powers of cover ideals The Hassanzadeh-Nasrollah Nejad-Simis Conjecture on Euler Conductors Minimal examples of Cohen-Macaulay independence complexes that fail to be shellable or vertex decomposable On an...

理想と行列とトポロジーとガロア手法 - 2026/10/7の論文9本 07.10.2026

arXiv math. ACの新着論文9本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-07/ Spectral Equality for Tropical Totally Nonnegative Matrices: Dominant Cancellation and Newton Polygons When Hilbert functions determine four-variable generic initial ideals Cartwright--Sturmfelsness of complementary determinantal edge ideals From Demailly's Inequality to Harb...

イデアルの冪と次元不等式とアフィン多様体 - 2026/10/6の論文11本 06.10.2026

arXiv math. ACの新着論文11本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-06/ Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one Ramification invariants of pure extensions On injective dimension of the conormal module Traces of powers of canonical ideals On the $\phi$-Weak Global Dimensions and $\phi$-Global Dimensio...

デルタ集合と正則性と特異点とヤコビ - 2026/10/5の論文7本 05.10.2026

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/2026-10-05/ The Delta Set of a Numerical Monoid Generated by a Generalized Arithmetic Sequence Invariant Rings of Adjacent-Quadratic Triangular Derivations Almost Gorenstein standard graded rings and their localizations Quillen's finiteness conjecture for the cotangent complex in charact...

環と多様体とFrobeniusとAcyclic条件 - 2026/10/2の論文6本 02.10.2026

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/2026-10-02/ On the totally acyclic condition and the Auslander-Reiten Conjecture Alternating Divisoriality of Prime Ideals along Infinite Chains of B\'ezout Domains On the Krull dimensions of rings of integer-valued polynomials and polynomial rings A Reduced Non-McCoy Ring with the Annih...

決定論とF指標と環 - 2026/10/1の論文7本 01.10.2026

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/2026-10-01/ Symmetric-determinant apolarity in odd characteristic The finitistic weak dimensions of Gaussian rings Prime Ideals and Projective Closure in the Boolean Polynomial Semiring Stanley-Reisner Theory in Mixed Characteristic Limit F-invariants of the simple singularities and the...

代数環と複体の特性 - 2026/9/30の論文15本 30.09.2026

arXiv math. ACの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-30/ Zero divisors of Gorenstein Rings A note on inverse limits of injective modules Christophersen's problem for monomial algebras Weak and strong Lefschetz properties for vertex cover Artinian algebras associated to graphs The $\mathrm{v}$-number of powers of ideals associated...

MATH-AC - 2026/9/29の論文26本 29.09.2026

arXiv math. ACの新着論文26本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-29/ Characterizing Steiner Systems via Betti Numbers of Monomial Ideals On the $b$-invariant of a normal graded ring Maximal shifts below the Taylor bound Bernstein--Sato ideals might not be linear The Waldschmidt constant of square-free principal Borel ideals Binomial edge idea...

MATH-AC - 2026/9/28の論文7本 28.09.2026

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/2026-09-28/ Asymptotic multiplicity sequences of graded families Structure of irreducible homomorphisms to/from free and injective modules Edge ideals of complements of a class of circular interval graphs Neural Ideals and Neural Codes: An Algebraic Framework for Neural Network Classific...

MATH-AC - 2026/9/25の論文7本 25.09.2026

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/2026-09-25/ Algebraic Expressivity Certificates for Shallow Polynomial Neural Networks Matrix factorization of quotient singularities of type A and D Jordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian Quotients Systems of parameters consisting of linear fo...

MATH-AC - 2026/9/24の論文8本 24.09.2026

arXiv math. ACの新着論文8本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-24/ Dimensions of permanental varieties in arbitrary size Two-sided bounds for canonical traces of Veronese subalgebras Resultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$ Generic $\mu$-power ideals, fat points, and symbolic powers Conjugat...

MATH-AC - 2026/9/23の論文12本 23.09.2026

arXiv math. ACの新着論文12本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-23/ Ideal Structures in Idealizations and Cardinalities of Annihilating Ideals Notes on Matlis reflexive modules A proof of the Eisenbud-Huneke-Ulrich conjecture Primary decompositions via exponent matrices Poincar\'e Duality and Quadratic Refinements over Laurent Rings Resultan...

イデアルとコホモロジーと多様体 - 2026/9/22の論文22本 22.09.2026

arXiv math. ACの新着論文22本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-22/ The Bourbaki Degree of Line Arrangements On the n-perfectness under split nilpotent extensions v-numbers of symbolic-ordinary discrepancy modules Mixed multiplicities and Rees Theorems for graded families and their converses Quasi-projective dimension for complexes via filtr...

コヒーレント領域とTor代数 - 2026/9/21の論文2本 21.09.2026

arXiv math. ACの新着論文2本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-21/ A one-dimensional coherent domain with non-Pr\"ufer integral closure Classification of Tor algebras for rings from general points by Waring Rank

導手と判別式の不等式と巡回被覆 - 2026/9/18の論文2本 18.09.2026

arXiv math. ACの新着論文2本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-18/ Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II

イデアルと環とコエンマカレイモジュール - 2026/9/17の論文13本 17.09.2026

arXiv math. ACの新着論文13本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-17/ Homological invariants of Edge Ideals associated to powers of cycles Dimensions of a ring and its formal power series ring Cohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial ideals Normality of ideals beyond the standard graded setting: f...

消去子と単項イデアルとヤコビ写像 - 2026/9/16の論文5本 16.09.2026

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/2026-09-16/ Annihilator Multiplication Modules: Ring Characterizations and Constructions Strongly multiplicative sets, idempotent localizations, and $S$-prime phenomena On atoms and their density in the monoid of monomial ideals Nilpotent Jacobian maps in dimension three and stable tamen...

多項式写像と環の構造と多様体 - 2026/9/15の論文14本 15.09.2026

arXiv math. ACの新着論文14本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-15/ The structure of automorphism groups of zero-dimensional monomial algebras The classification of some polynomial maps in dimension three Independence polynomials and the weak Lefschetz property for tadpole graphs On a question of Nori: The high-codimension conductor case Gol...

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