プレプリどんどん編集部

プレプリどんどん: math.AC

Science JA ↓ 127 episodes

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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プレプリどんどん編集部

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Science

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prepridondon.nyoho.jp

Latest episode

Oct 19, 2026

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Episodes

次元と表現と代数と環と複体 - 2026/8/6の論文4本 06.08.2026

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/2026-08-06/ Krull--Gabriel dimension and Cohen-Macaulay representations Behrend function and blowup algebras Spherical Completeness, Coherence, and GCD Properties of Formal Power Series and Witt Vector Rings Frobenius--Witt cotangent complex for derived rings

局所環とヤコビアンとクラスター代数 - 2026/8/5の論文3本 05.08.2026

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/2026-08-05/ A Fitting criterion for quasi-Gorenstein local rings A Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic Two Cluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM

代数構造とグラフ理論と特異点 - 2026/8/4の論文10本 04.08.2026

arXiv math. ACの新着論文10本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-04/ Ulrich modules : decomposition and relation with rings having minimal multiplicity GL-algebras in positive characteristic III: the divided power algebra $\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs Hilbert Series and Logar...

終結式とヒルベルト係数 - 2026/8/3の論文2本 03.08.2026

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/2026-08-03/ Small Resultant Systems via Linear Combinations Bounds on the second Hilbert coefficient and the depth of the associated graded ring

導出とコホモロジーとテンソル代数 - 2026/7/31の論文8本 31.07.2026

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/2026-07-31/ When does a derivation of a ring admit the exponential? $\alpha\beta$-Tessarine Toolbox: A high-performance MATLAB framework for hypercomplex tensor algebra Local cohomology modules with nonclosed support Transcendental Hilbert-Kunz Multiplicities Cotorsion modules relative t...

予想とイデアルと体積 - 2026/7/30の論文4本 30.07.2026

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/2026-07-30/ Exploring a local variant of the Buchsbaum--Eisenbud--Horrocks conjecture Asymptotic Resurgence of Facet ideals of Graphic Matroids A Riemann-Roch theorem for Frobenius quotients The finite degree formula for normalized volumes

単項イデアルとベルグマン空間 - 2026/7/29の論文3本 29.07.2026

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/2026-07-29/ Reduction of the Finite Generation Problem for Leading Term Ideals under Arbitrary Rational Monomial Orders to the Lexicographic The Mendez-Pinto-Villarreal Conjecture for some classes of monomial ideals On the flatness of the Bergman space as a module over the Hardy algebra

予想と環と半環と不変量論 - 2026/7/28の論文8本 28.07.2026

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/2026-07-28/ Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two The Bi-UFS Positive Conjecture for algebraic semidomains On the distributivity of the subtractive closure operator over ideal operations in hemirings Interval Rings Nearly Gorenstein blow-up...

二項イデアルとヘッセ行列とグレブナー基底 - 2026/7/27の論文3本 27.07.2026

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/2026-07-27/ Prime and Cohen--Macaulay binomial ideals with linear resolution A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures A class of polyocollection ideals with quadratic Gr\"{o}bner bases

ヤコビアンと行列式とテンソル固有値 - 2026/7/24の論文6本 24.07.2026

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/2026-07-24/ On mappings with Jacobian one Asymptotic Resurgence of Facet and Stanley-Reisner ideals of Matroids Lower bounds on the strength of the determinant An Explicit Characteristic-$2$ Counterexample to the Separable Jacobian Conjecture Surjectivity of Engel Maps over trace zero ma...

二次イデアルとヤコビ写像 - 2026/7/23の論文2本 23.07.2026

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/2026-07-23/ Quadratic Ideals in Six Variables and the Eisenbud--Green--Harris Conjecture A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots

正則性と基底と特異曲線と不変量 - 2026/7/22の論文10本 22.07.2026

arXiv math. ACの新着論文10本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-22/ Regularity and depth of binomial ideals arising from combinatorics Admissible bases and generic lattice ideals A sublinear bound for the regularity of subspace arrangements Border Bases and Border Basis Schemes Picard groups and composition nilpotence for finite cellular iso...

ベッティ表と平坦性と判別式 - 2026/7/21の論文7本 21.07.2026

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/2026-07-21/ On generalization of two results of Foxby Betti Tables and the Licci Property The Weak Zero-Divisor Difference Graph of a Finite Commutative Ring Homological Detection by Perfectoid Algebras The Miracle of Flatness in Algebraic Geometry Degenerating Discriminants Small Counte...

単項曲線と完全交差射影閉包 - 2026/7/20の論文1本 20.07.2026

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/2026-07-20/ On complete intersection projective closures of monomial curves

追悼と回顧 - 2026/7/17の論文1本 17.07.2026

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/2026-07-17/ In Memoriam: Professor Dr. Winfried Bruns (1946--2026)

局所コホモロジーと行列とマトロイド - 2026/7/16の論文5本 16.07.2026

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/2026-07-16/ Regularity, local cohomology and injective modules under contracting endomorphisms The variety of nilpotent matrices is $F$-regular Integrability in the sense of Hasse-Schmidt and $p^e$-basis Greedy fusion Matroid correspondence

ヘッセ行列と不変量とリプシッツ飽和 - 2026/7/15の論文4本 15.07.2026

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/2026-07-15/ Some Remarks on Hessians and Wronskians Semi-Invariants of a Matrix and Covector Generalized symmetry in the vanishing of Ext LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties

イデアルと半環と評価写像 - 2026/7/14の論文16本 14.07.2026

arXiv math. ACの新着論文16本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-14/ Factorizations in rational monogenic semidomains Homological invariants of edge ideals of the multiple extended complete split-like graphs Buchsbaum modules and parameter ideals under flat extensions Polynomials over idempotent semifields Characteristic Independence of Betti...

コーエン・マコーレイ環とF閾値 - 2026/7/13の論文5本 13.07.2026

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/2026-07-13/ Derived Kunz and Radu--Andr\'e Theorems Factoring maps to big Cohen-Macaulay algebras through blowups $S_r$ properties of generalized Cohen--Macaulay modules and rings having liftable local cohomology via Serre depth On $F$-thresholds of differential power filtrations On the...

有限局所環上の行列とワーリング問題 - 2026/7/10の論文1本 10.07.2026

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/2026-07-10/ Waring Problem for matrices over finite local rings

形式的冪級数と線形マトロイドと前順序 - 2026/7/9の論文3本 09.07.2026

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/2026-07-09/ Schreyer resolution of modules over formal power series Analytic Spread via Linear Matroids The space of preorders on a commutative monoid

イデアルとベッティ錐とグレブナー基底 - 2026/7/8の論文5本 08.07.2026

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/2026-07-08/ Graded families of ideals and convex regions Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions Purity of extremal rays of Betti cones Groebner.jl: Fast Gr\"obner Tracing in Julia Fast Rational Univariate Representation via Gaussian...

数値半群とエッジイデアルとアフィンスキーム - 2026/7/7の論文13本 07.07.2026

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/2026-07-07/ On the additive structure of algebraic valuations of polynomial semirings II On the smallest numerical semigroups closed under affine maps On Landweber$'$s unique factorization problem Standard Veronese degree and star configurations Ordered alternating paths and the depth o...

ゴレンシュタイン環と多項式とF-分裂 - 2026/7/3の論文5本 03.07.2026

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/2026-07-03/ Existence of a Nonsmoothable Local Gorenstein Algebra with Smoothable Q(0) A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations Quasi-$F$-splitting versus log canonicity Bimodules in differential polynomial rings Deterministic Polynomial-time...

整数値多項式と辺イデアルとトロピカル幾何 - 2026/7/2の論文3本 02.07.2026

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/2026-07-02/ When is the Ring of Integer-Valued Polynomials over a Group Ring a Pr\"ufer domain? On the Linearity of Squarefree Powers of Edge Ideals Tropical Geometry as a Restricted Architecture for Physics-Informed Neural Networks: Applications in Nonlinear Fluid-Structure Examples

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