
プレプリどんどん: math.AC
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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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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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/2026-08-28/ Comparing v-numbers of symbolic and ordinary powers of squarefree monomial idealsLinear Independence of Polynomial Compositions and Identifiability of Deep Neural NetworksOn the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary characteristicBoxicity and Threshold Dimension of Zero Divisor GraphsDisjoint and nearly disjoint sums of matrix multiplication tensors and their centroidsGraded Ehrhart theory for hypersimplices
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/2026-08-27/ Contravariantly finite resolving subcategories over commutative local rings are trivial onesMulti-graded generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for $d$-Leray complexesReduction numbers for witnesses to the generalized Loewy lengthPolynomial extensions do not preserve the strong finite type propertyMultiplicity-One Cox Rings of Toric Point Blow-UpsOn the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of IdealsDe Morgan's La
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/2026-08-26/ Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial RingsCounterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimensionOn exceptional cliques in matrix ringsComponentwise linear monomial idealsFr\"oberg's Conjecture for Quintics and Septics in Four VariablesLocal stability of Frobenius and Artin--Schreier base-change: a comparison
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/2026-08-25/ A Complete Characterization of Realizable (Embedding Dimension, Multiplicity) Pairs for Complete Intersection Numerical SemigroupsSome non-principal rigid ideals in Gorenstein domains of dimension oneDuality Between Injective Envelopes and Flat Covers over Noether AlgebrasCosyzygy modulesOn the Hilbert series of ideals generated by general linear formsPoint Counts of Cluster Varieties of Marked Surfaces Over Finite FieldsMarshall Quotients of the Rings $\mathbb Z/n\mathbb Z$A tight bound for
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/2026-08-24/ Derivations of plane algebroid curvesRegularity of Symbolic Powers of Co-Chordal Edge IdealsA Mayer-Vietoris calculus for regular denominatorsRamification ideals for products of pure subgroupsBetti and Bass numbers of relative Frobenius maps
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/2026-08-21/ Generalized Hamming weights of codes arising from complete intersectionKoszul cohomology of \v{C}ech cohomology modulesClique number and triangle densities in $C_4$-free graphsEigensolvers for polynomial roots and tensor decompositionResolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History Descent
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/2026-08-20/ V-numbers of powers of cover ideals of unimodular hypergraphsComplete Intersections of Bounded Codimension: Failure of the Nagata Criterion and Recovery of OpennessDifferential Operators on $G(r,n)$-Invariant FunctionsEquivalence of Curve Singularities and delta-InvariantsMatrix Algebra for Persistence Modules Yields a Proof of the Isometry TheoremThe radial derivative on the graded M\"obius algebraFinite-coefficient K-theory of henselian valued fields and Gersten injectivityEquations of Tree
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/2026-08-19/ The Bi-UF Positive Conjecture HoldsA Structural Property of Generic Initial IdealsHankel Determinantal Ring have $F$-regular SingularitiesAlgebras with straightening laws on join- or meet-semidistributive latticesDepth and Krull dimension of Binomial edge idealsCohomological Cohen--Macaulayness in Non-Noetherian RingsF-rationality of multiplicity-free subvarietiesDeformation Theory of Monoid Schemes II: Precartesian Coextensions of Commutative MonoidsInvariant chains of graphsA strongly comp
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/2026-08-18/ Ideal Zero-Product Probability in Finite Commutative RingsV-numbers of symbolic powers of cover ideals of graphs$F$-injectivity does not deformSome Properties of Path and Closed Neighborhood IdealsBounds on multiplicity of MCM modules having non-extremal growth of betti-numbersCanonical traces of Artinian truncations of Stanley-Reisner ringsFactorization Bounds and Irreducibility Criteria in Hurwitz Series RingsEstimates for roots of Bernstein-Sato polynomials via log resolutions by orbifold
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/2026-08-17/ A counterexample to a question on the maximality of purely-primesTorsion pairs in subcategories of modules over a commutative ringOn Takahashi's questions about dominant local ringsDetecting Essential Ideals in Polynomial RingsMittag-Leffler Conditions, Gorenstein Modules and Homological InvariantsClassifying Smooth Quot SchemesFinite Gaussian Reconstruction of Polynomial Orbits: From Correlated Moments to Oscillatory Periods
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/2026-08-14/ Artinian Gorenstein algebras with Macaulay dual generator with fixed Waring rankThe Noetherian Case of Bayart's Power-Series QuestionThe multiplicity sequence of monomial idealsOn the isotropy group of monomial derivationsRigidity for Lie algebras of locally finite derivationsHomogeneous Weights on Semigroup Algebras of Finite Commutative SemigroupsNull polynomials over a finite ring need not form a two-sided ideal
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/2026-08-13/ Limits of Amao multiplicities and Epsilon multiplicityA note on the real Jacobian conjecture in degree 7
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/2026-08-12/ On an Instance of the Small Cohen-Macaulay Conjecture IIOn the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring IsomorphismsNormality of Relative Elementary Tranvection GroupsVirtually Gorenstein Artin algebras are weakly GorensteinMutation-preserving generalized cluster algebras and Laurent mutation invariantsKronecker Products of Symmetric Persistent Tensors
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/2026-08-11/ (Locally) Associated Subrings in Polynomial and Power Series ExtensionsLocal cohomological dimension and depth in mixed characteristicOn strongly G-regular ringsRelating the Exterior Algebra of the Conormal Module to the Tor AlgebraRemarks on some Homological Problems regarding Infinite Integral ExtensionsTor and Ext vanishing results for commutative Artinian ringsDisconnected multigraded Hilbert schemes on $\mathbb{P}^2\times\mathbb{P}^1$Brehm-Wintner-Conley Dimension, Pl\"ucker Coordinates
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/2026-08-10/ On the Radical Computation of Parametric Ideals over Finite FieldsAn Explicit Five-Variable Counterexample to the Generalized Vanishing ConjectureInitial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First ApproachVector fields of graphic arrangements and face rings of simplicial posetsThe basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions
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/2026-08-07/ Restrictions on the Betti tables of licci idealsThe graded Betti numbers are not tropical invariants
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 representationsBehrend function and blowup algebrasSpherical Completeness, Coherence, and GCD Properties of Formal Power Series and Witt Vector RingsFrobenius--Witt cotangent complex for derived 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/2026-08-05/ A Fitting criterion for quasi-Gorenstein local ringsA Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic TwoCluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM
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 multiplicityGL-algebras in positive characteristic III: the divided power algebra$\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphsHilbert Series and Logarithmic Degrees of $A$-Hypergeometric SeriesHomological shift ideals of weighted oriented graphsA cusp surface singularity is Frobenius liftableNash structure of curves over a valued field and tame henselian rationalityCluste
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 CombinationsBounds on the second Hilbert coefficient and the depth of the associated graded ring
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 algebraLocal cohomology modules with nonclosed supportTranscendental Hilbert-Kunz MultiplicitiesCotorsion modules relative to a hereditary torsion theoryOn phi-(k,n)-absorbing delta-primary hyperidealsHomotopy limits of complexesDerangement permutation matrices and orbit harmonics
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 conjectureAsymptotic Resurgence of Facet ideals of Graphic MatroidsA Riemann-Roch theorem for Frobenius quotientsThe finite degree formula for normalized volumes
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 LexicographicThe Mendez-Pinto-Villarreal Conjecture for some classes of monomial idealsOn the flatness of the Bergman space as a module over the Hardy algebra
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 TwoThe Bi-UFS Positive Conjecture for algebraic semidomainsOn the distributivity of the subtractive closure operator over ideal operations in hemiringsInterval RingsNearly Gorenstein blow-up algebras over two-dimensional regular local ringsAlgorithms and results on multiparameter counting of numerical semigroupsCounterexamples to Norm Conjectures of Wehlau in Modular Invariant TheoryA face-isolation proof of the
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 resolutionA five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjecturesA class of polyocollection ideals with quadratic Gr\"{o}bner bases