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プレプリどんどん: math.AC

A Mathematics and Science podcast

#21 in Mathematics · 🇯🇵
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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)

Newest episodes

トーションと特異環と量子表現の構造 - 2026/11/11の論文5本

9 min

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/2026-11-11/ Relative Derived Torsion in Categories of Reduced Modules: Comparison and Non-Noetherian ExamplesSplitting module-finite extensions over singular local ringsMultivariate diagonal harmonics: character polynomials and proofs of two conjectures of BergeronClosed layers in tensor-triangular geometryRepresentations of the quantum double of the restricted quantum group $\mathbf{\overline{u}}_q(\mathfrak{sl_2})$

剛性と特異点とコホモロジー - 2026/11/10の論文7本

13 min

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/2026-11-10/ Finiteness of local cohomology modules over arbitrary regular local ringsA divisorial domain with non-Pr\"ufer normalizationSuperlinear regularity of Frobenius powers on a normal hypersurfaceSplit Kernel Multiplication ModulesRigidity does not imply substitution rigidityThe Gorsky-Oblomkov-Rasmussen conjecture over $\mathbb{Q}$Sharp minima of higher Milnor and Tjurina numbers of isolated singularities

自由分解とグラフのレギュラリティ - 2026/11/9の論文8本

15 min

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/2026-11-09/ Local cohomology over Steenrod algebrasUniform and Relative Non-Associativity on Minimal Free ResolutionsPruning free resolutions over a complete intersectionGeneralized Edge Ideals and Regularity Offset of GraphsThe covariety of numerical semigroups with some prescribed pseudo-Frobenius numbersA generalized Saito criterion, from line arrangements to curvesThe Woo-Yong conjectureInclusions and intersections of products of verbally prime $T$-ideals

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All episodes

トーションと特異環と量子表現の構造 - 2026/11/11の論文5本

9 min

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/2026-11-11/ Relative Derived Torsion in Categories of Reduced Modules: Comparison and Non-Noetherian ExamplesSplitting module-finite extensions over singular local ringsMultivariate diagonal harmonics: character polynomials and proofs of two conjectures of BergeronClosed layers in tensor-triangular geometryRepresentations of the quantum double of the restricted quantum group $\mathbf{\overline{u}}_q(\mathfrak{sl_2})$

剛性と特異点とコホモロジー - 2026/11/10の論文7本

13 min

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/2026-11-10/ Finiteness of local cohomology modules over arbitrary regular local ringsA divisorial domain with non-Pr\"ufer normalizationSuperlinear regularity of Frobenius powers on a normal hypersurfaceSplit Kernel Multiplication ModulesRigidity does not imply substitution rigidityThe Gorsky-Oblomkov-Rasmussen conjecture over $\mathbb{Q}$Sharp minima of higher Milnor and Tjurina numbers of isolated singularities

自由分解とグラフのレギュラリティ - 2026/11/9の論文8本

15 min

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/2026-11-09/ Local cohomology over Steenrod algebrasUniform and Relative Non-Associativity on Minimal Free ResolutionsPruning free resolutions over a complete intersectionGeneralized Edge Ideals and Regularity Offset of GraphsThe covariety of numerical semigroups with some prescribed pseudo-Frobenius numbersA generalized Saito criterion, from line arrangements to curvesThe Woo-Yong conjectureInclusions and intersections of products of verbally prime $T$-ideals

ドメインの構造とグラフ・符号の解析 - 2026/11/6の論文5本

10 min

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/2026-11-06/ Isomorphisms and automorphisms of minimal comaximal hypergraphs of commutative ringsDomination and maximal intersecting families in comaximal graphs of commutative ringsAlmost S-GCD domains: localization, class groups, and extensionsTilting bundles and modifying modules in relative dimension oneCommon zeros of homogeneous polynomials and the weight hierarchy of projective Reed-Muller codes

理想と行列と順序体 - 2026/11/5の論文6本

11 min

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/2026-11-05/ Betti Sequences of Four-Generated Non-Almost-Symmetric Nearly Gorenstein Numerical Semigroup RingsUniform comparison of multiplier and test ideals for polynomials with affinely independent supportIntersection Product Formulas and Integral DependenceIdeals of 2-minors of nearly determinantal matricesCapelli Operators and the Bernstein-Sato polynomials of MinorsHomology and Topology of Partially Ordered Fields

導来圏と評価領域の幾何学 - 2026/11/4の論文5本

9 min

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/2026-11-04/ A Relative Telescope-Type Conjecture: Support and Generation in Half-Bounded Derived CategoriesCoherence and the Hilbert-syzygy identity for power series over valuation domainsGeometry of Spaces of SubringsLocalisations of rings of weak global dimension at most oneThe tensor triangular geometry of valuation domains

理想と環とシジィの構造的性質 - 2026/11/3の論文17本

28 min

arXiv math.ACの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-11-03/ Cube-freeness and a square formula for canonical trace ideals of Stanley--Reisner ringsStacked-bases Properties, maximal ideals and polynomial closures of Rings of Integer-Valued PolynomialsLinear resolutions of powers of edge ideals of gap-free graphs with matching number fourAlmost Gorenstein edge rings of bipartite graphs and their $h$-vectorsA study on v-numbers of $\operatorname{Ext}^i_R(L,M/I^nN)$ and $\operatorname{Tor}_i^R(L,M/I^nN)$Quadratic and Koszul Licci IdealsParameters and lim CM sequences: the Q-sequence conjecture and Lech's formulaOn Bayart's unique factorization problemOn a question of Takahashi concerning direct summands of syzygiesMinimal cellular resolutions of complementary edge idealsAssociated primes in group cohomology and a strange resultOn the complexity of isomorphism problems for tensors, groups, and polynomials V: over commutative ringsAuslander-type grade conditions and subcategories related to syzygy modulesArtinian reduction applied to the Largest Intersection ProblemTopological transcendence degree and the dimension problem for perfectoid spacesA Reider-type theorem for syzygies of cyclic covers of anticanonical rational surfacesFinal coalgebras over R-modules

Dモジュールとハイパーリングの予想 - 2026/11/2の論文8本

14 min

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/2026-11-02/ The Bi-LF Positive Conjecture HoldsModules with unbalanced supportDerived products and top-degree inverse limitsFiltration theorems, Hilbert functions, and generic freeness2-nil Hyperideals of multiplicative hyperringsReduction numbers under flat extensionsExtended Tropical Characteristic Fibers and Slopes of Binomial D-ModulesA Tropical Viewpoint on the Nagata--Biran--Szemberg Conjecture

DG環とテストイデアルとグラフ構造 - 2026/10/30の論文17本

35 min

arXiv math.ACの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-30/ Width and amplitude inequalities over DG-ringsOn End-Semidualizing ModulesTest ideals can be computed by boundariesThe residue field as an infinite syzygyClass groups of polynomial Krull domainsLyubeznik numbers of the face rings of simplicial posetsRegularity of Symbolic Powers of Polymatroidal Ideals and Supermodular Prime IntersectionsAdditive factorizations in finitely generated semidomainsSymbolic depth functions of edge ideals via local graph structureVon Neumann regular and semisimple rings realized as principal quotients of domainsDivision and noetherianity in quasianalytic Denjoy-Carleman classesA dynamical approach to Frobenius splittingA DG algebra structure for the edge ideal of any split graphHilbert functions of filtered graphical zonotopal algebrasComposition factors and finite representation typeA Gasch\"utz Lemma for linear algebraic groups with applications to the Riemann-Hilbert correspondenceCubic lower bounds for the permanent in odd characteristic, for Pfaffian representations, and for polynomial entries

ケラー写像とヤコビ予想の相関 - 2026/10/28の論文3本

6 min

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/2026-10-28/ Counting the Fixed Points of Binary Belief Propagation: Generic Degree, Syzygies, and Real SolutionsQuartic Keller Maps and Tameness in Three VariablesThe Legendre potential and the gradient case of the differential Galois criterion for the Jacobian Conjecture

イデアルと超平面配置とテンソル幾何 - 2026/10/27の論文10本

21 min

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/2026-10-27/ Which posets are spectra of Noetherian rings? The case of height at most oneThe $\rm{v}$-number of $t$-closed neighborhood idealsThe ascending chain condition for radical well-mixed difference idealsGenerators and Lefschetz properties of general hyperplane arrangement apolar algebrasIntersection multiplicity of a sparse curve and a trinomial curveOn a question of Cid-Ruiz: positive results and counterexamplesCross numbers and the characterization of finite abelian groups by length setsSpectra, Growth, and Localization in Half-Bounded Tensor Triangular GeometryHodge Theory and Grobner DegenerationsSharp effective Nullstellensatz for projective Cohen-Macaulay schemes

理想と完璧体とヤコビアン - 2026/10/26の論文7本

13 min

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/2026-10-26/ Associated primes and v-numbers of integral closures of powers of edge idealsOn perfectoid idealsContributions to the Stable Derived Categories of Gorenstein RingsDivisorial ideals and $v$-class semigroups of strictly closed domainsNoetherian local rings without perfectoid towersRank identifications in join-meet ideals of thin distributive latticesJacobian layers and higher Milnor sequences: rigidity, stabilization, and log-concavity

構造の指標と予想の反例 - 2026/10/22の論文7本

13 min

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/2026-10-22/ Hilbert-Kunz multiplicities of powers of ideals and normalized Hilbert coefficientsOn some problems concerning the growth of Betti numbersThe Kemper--Malle conjecture and isolated linear quotient singularitiesRegularity and $v$-number of syzygies of graded maximal Cohen-Macaulay modulesDifferential powers of monomial ideals in affine semigroup ringsClosedness of bounded strength and partition rank lociThe recent counterexamples to the Eisenbud-Schreyer-Weyman Ulrich problem (2003) and to Hochster's small Cohen-Macaulay conjecture (1973): a survey, with a generalization to arbitrary dimension

理想と行列とグラフと超複素数法 - 2026/10/21の論文4本

8 min

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/2026-10-21/ $\mathrm{v}$-numbers of powers of edge ideals of cubic circulant graphsOn Hankel Determinantal MatroidsOn the Fluctuations of Associated Primes and Depths of Powers of Monomial IdealsHypercomplex Method for Solving Nonlinear PDEs

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

24 min

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 curvesBounded powers of edge ideals: Nearly Gorenstein polytopesUnique Factorization of Power Series Rings over Q-UFDs of Dimension at Most 3Every commutative perfect ring is a quotient of an almost perfect domainPolynomial bounds for the stability of associated primes of monomial idealsOn the arithmetic rank and cohomological dimension of some residual intersectionsEmbedding into quotientHerzog Class of Codimension $3$ Licci Monomial IdealsSaturation degree of powers of graded idealsOn the classification of threefold flopsRank and Border Rank Additivity of Complex Tensors with a Hankel SummandLefschetz Properties of complete intersesctions and maximal variation of hyperplane sectionsNon-existence of negative weight derivations on Jacobian algebrasTwisted logarithmic de Rham complexes and the rational hit conjectureDegree Bounds for Separating Polynomial and Neural Invariants for Point Clouds

環の構造と理想の分解 - 2026/10/19の論文6本

12 min

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 ClassesRegularity, depth and Serre depth of symbolic powers of complementary edge idealsLocally Gorenstein algebras, a generalization of Gorenstein algebrasDg models for derived differential operatorsLCM Splittings in GCD DomainsThe semiring of spectral duality skeletons: cancellation, characters and factorization

コホモロジーとグラフの特性 - 2026/10/16の論文11本

21 min

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 factorizationHolomorphy rings and the Nullstellensatz over large fieldsOn the variety of sum of powers of certain complete intersection formsEdge ideals of gapfree graphs with matching number $3$Direct products of Gorenstein flat modules over coherent ringsThe asymptotic surjective number and F-surjective signatureCotangent cohomology and higher-order obstructions of matroidsStrong Lefschetz property of the Kirchhoff algebra of the complete tripartite graph $K_{1,1,n}$Perfectoid Pure and Signature PairsGluing weak approximability along recollementsDeterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers

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

6 min

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 ringsMacdonald dual in the semilocal case and applications to local homology and local cohomologyMinimal 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

45 min

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 coversImproved Upper Bounds for the Rank of the Determinant Tensor via Glynn's FormulaWaring rank of certain complete intersection formsCombinatorial bounds for the v-number of binomial edge idealsAsymptotic Lech Bounds and Bertini FlagsGeometric and homological interpretations of tensor flatteningsSolomon--Terao Algebras: Top Degree, Dimension, and HomologyCharacterizations of t-Almost Dedekind Domains via w-Secondary ModulesOn Z-Noetherian RingsLinear Laurent phenomenon algebras are of finite typeGeneralizing Green's Syzygy Theorems to Symmetric Products of CurvesSemiprime and real submodules of arbitrary modules are intersections of prime and real prime submodulesAn overring characterization of Gorenstein Pr\"ufer domainsGorenstein Pr\"ufer domains with non-Pr\"ufer integral closureOn modular vector invariant fieldsSome Remarks on Regular Sequences and Complete IntersectionsThe $\lambda$-chain condition of a finite partially ordered setHilbert's Nullstellensatz and the real Nullstellensatz for modules and sheavesA lower bound on $\text{depth} \ \mathbf{A/I^n}$Local coherence and recollement of abelian categoriesA Nullstellensatz for the field of complex Laurent seriesAnalytic Criteria for Detecting Bernstein-Sato RootsLinear maps preserving the matrix discriminant. An enhanced approachSplitting of projective modules over some affine algebras

行列式多様体と配置 - 2026/10/12の論文8本

17 min

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 varietiesOn the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial AlgebrasA complex associated to a family of ideals and applications to subspace arrangementsCounterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim MultiplicitiesOperator Algebras and Their ApplicationsGenerating Sets for the Kernels of Frobenius Polarization OperatorsGeometry of some determinantal arrangementsQuillen's local parameter conjecture in dimension four

構造とサイクルと群の性質 - 2026/10/9の論文8本

16 min

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 revisitedEquivariant noncommutative crepant resolutions and $G$-maximal modifying modulesDerived functors and Hilbert polynomials over dominant Cohen-Macaulay ringsPolycubes and polycube idealsInfinite girth and profinite properties of residually finite groupsAn explicit tame factorization of the four-variable Anick automorphismToric flatness ICharacteristic cycles and the Gevrey filtration of irregularity in hypergeometric families

複体とイデアルと構造的性質 - 2026/10/8の論文7本

14 min

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 idealsThe Hassanzadeh-Nasrollah Nejad-Simis Conjecture on Euler ConductorsMinimal examples of Cohen-Macaulay independence complexes that fail to be shellable or vertex decomposableOn an ideal membership problemRamified Quivers with Potentials, Monodromy Characters, and Cluster Bases IA combinatorial criterion for detecting roots of Bernstein-Sato polynomialsFrattini Geometry of Non-Generating Complexes: Symmetry, Homology and Betti Numbers

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

18 min

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 PolygonsWhen Hilbert functions determine four-variable generic initial idealsCartwright--Sturmfelsness of complementary determinantal edge idealsFrom Demailly's Inequality to Harbourne--Huneke Containments for General PointsLiouvillian first integrals of differential equations: A Galoisian approachDeterminacy and Modality in Positive CharacteristicFinite holomorphic pullbacks, Segre numbers, and generic L\^e numbersDiagonal Specht ideals and their varietiesTruncation of dg categories and connective resolutions

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

22 min

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 oneRamification invariants of pure extensionsOn injective dimension of the conormal moduleTraces of powers of canonical idealsOn the $\phi$-Weak Global Dimensions and $\phi$-Global DimensionsAsymptotic Castelnuovo-Mumford regularity of (co)homology modules involving powers of idealsPolynomials with restricted support and maximal zeros on a finite Cartesian setK-injective complexes in commutative algebraReflexive ideals of a numerical semigroupThe separator-based derivations for arrangements of monomial groupsBorel subgroups of the automorphism group of an affine variety

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

14 min

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 SequenceInvariant Rings of Adjacent-Quadratic Triangular DerivationsAlmost Gorenstein standard graded rings and their localizationsQuillen's finiteness conjecture for the cotangent complex in characteristic twoBounds for Regularity of Toric Varieties in Terms of MultiplicitySharp FRS and singularity thresholds for off-diagonal Gram mapssome arithmetical aspects of the two dimensional jacobian conjecture

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

13 min

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 ConjectureAlternating Divisoriality of Prime Ideals along Infinite Chains of B\'ezout DomainsOn the Krull dimensions of rings of integer-valued polynomials and polynomial ringsA Reduced Non-McCoy Ring with the Annihilator Condition and $(A_2)$Frobenius multiplicities and F-signatures of Grassmannians of two-planesAutomorphisms of hypersurfaces in polarized varieties

決定論とF指標と環 - 2026/10/1の論文7本

15 min

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 characteristicThe finitistic weak dimensions of Gaussian ringsPrime Ideals and Projective Closure in the Boolean Polynomial SemiringStanley-Reisner Theory in Mixed CharacteristicLimit F-invariants of the simple singularities and the Fermat hypersurfacesComponentwise linearity, Fr\"oberg's analogue, and classification of linear support-two monomial idealsArithmetic pseudo-Frobenius numbers and determinantal numerical semigroup rings

代数環と複体の特性 - 2026/9/30の論文15本

30 min

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 RingsA note on inverse limits of injective modulesChristophersen's problem for monomial algebrasWeak and strong Lefschetz properties for vertex cover Artinian algebras associated to graphsThe $\mathrm{v}$-number of powers of ideals associated with chessboard complexesPowers of Alexander Duals of Stanley-Reisner Ideals of Chessboard ComplexesCharacteristic-free Kn\"orrer periodicityThe WittVectors package for Macaulay2Weak and Serre Lifting of Cyclic Modules and the Liftability of Auslander DualsRigidity conditions for binomialsCalculating Hodge and weight filtrations on localizationsThe $F$-signature Function on the Big ConeGorenstein homological properties of n-trivial extensions of ringsSchreyer Resolutions over the Exterior AlgebraDeep Points of Cluster Algebras II: Punctured Marked Surfaces

イデアルと行列式とベッチ数と整域 - 2026/9/29の論文26本

50 min

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 IdealsOn the $b$-invariant of a normal graded ringMaximal shifts below the Taylor boundBernstein--Sato ideals might not be linearThe Waldschmidt constant of square-free principal Borel idealsBinomial edge ideals of bipartite complements of even cyclesThe F-signature of Determinantal RingsWide subcategories over commutative coherent ringsGeneralized mixed sequence multiplicityTotal Rings of Quotients with Arbitrary Weak Global DimensionsDG Algebra Structures on Mapping Cones with an Application to Edge IdealsSplitting the Matroid DeterminantOn embeddings of rings into their canonical modulesA B\'ezout domain that is not an elementary divisor domainPrimary Decompositions in Lorentz-Covariant RingsAlgebras with Variable Structural Constants and Their ApplicationsAlgebras with Variable Operator-Valued Structural Constants and Their ApplicationsRelative Global Dimension of Controllable ExtensionsGorenstein cotorsion pairs induced by balanced pairsFactorizations in algebraic monogenic semidomainsThe Moment Method for Computing Real Points of Sparse Polynomial SystemsCoordinate descents, monodromy, and finite normalization of marked-root mapsMatching algebras and their Dunkl subalgebrasStrong and Explicit Forms of the One-Sided Nullstellensatz over Division RingsA Quadratic Lower Bound on Determinantal ComplexityOn the De Rham Cohomology of Zero-Dimensional Schemes

辺イデアルとニューラルコードと特異点 - 2026/9/28の論文7本

14 min

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 familiesStructure of irreducible homomorphisms to/from free and injective modulesEdge ideals of complements of a class of circular interval graphsNeural Ideals and Neural Codes: An Algebraic Framework for Neural Network Classification and Feature InterpretationSpecial Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularitiesOn the support of double Grothendieck polynomialsNon-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids

多項式ネットワークと行列分解と商特異点 - 2026/9/25の論文7本

14 min

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 NetworksMatrix factorization of quotient singularities of type A and DJordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian QuotientsSystems of parameters consisting of linear forms for monomial ideal quotientsPrimality of dilated closed path polyominoesReduced and coreduced modules with respect to inverse families of idealsSpecht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem

多様体と終結式とイデアルと不変量 - 2026/9/24の論文8本

18 min

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 sizeTwo-sided bounds for canonical traces of Veronese subalgebrasResultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$Generic $\mu$-power ideals, fat points, and symbolic powersConjugation Differential Invariants of $\mathrm{SL}_2(\mathbb{F}_q)$ on trace-free matricesField independence of the first seven Betti numbers of flag complexesThe prime spectrum of rings of integer-coefficient power series on the diskDegrees and directional defects of embedded algebraic vector bundles

イデアルと加群と完全交差とホモロジー - 2026/9/23の論文12本

25 min

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 IdealsNotes on Matlis reflexive modulesA proof of the Eisenbud-Huneke-Ulrich conjecturePrimary decompositions via exponent matricesPoincar\'e Duality and Quadratic Refinements over Laurent RingsResultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groupsComplete intersection and quasi-homological dimensionsEquivalence of Extensions and the Perturbation IndexThe Non-Lefschetz Locus of Monomial Complete Intersections in Positive CharacteristicThe Betti numbers and Golodness of numerical semigroup rings of Sally typeBernstein-Sato ideals for free hyperplane arrangementsPairs of lattice complements with complementary homology

イデアルとコホモロジーと多様体 - 2026/9/22の論文22本

38 min

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 ArrangementsOn the n-perfectness under split nilpotent extensionsv-numbers of symbolic-ordinary discrepancy modulesMixed multiplicities and Rees Theorems for graded families and their conversesQuasi-projective dimension for complexes via filtrationsThe Coproduct of Ideals and the Coprime SpectrumOn Regular Mac Lane-Vaqui\'e chainsPrime and Cohen-Macaulay ideals of 2-minors with linear resolution$\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groupsDescent along flat composed with radicalizationThe algebraicity of generating functions using nested Artin approximationThe structure of almost symmetric almost complete intersection numerical semigroupsA non-spatial frame of smashing idealsA codimension formula for intrinsic perturbation of $A$-hypergeometric seriesSpecial valuations and automorphisms of affine log Calabi--Yau varietiesLocal cohomology with Schubert support on compact Hermitian symmetric spacesBimeromorphic invariance of $\partial\bar\partial$-property and blow-up formulae I: counterexamples and derived category approachHilbert functions over the exterior algebra and f-vectors in higher rank I: Amata-Crupi monomial modules, Kozlov polytopes, and r-vectors of simplicial complexesA local cohomology obstruction to small Cohen--Macaulay modulesSharp zero estimates for trajectories of polynomial vector fields2-step ideals and commuting matricesAlgebraic independence of periods of Anderson modules and their hyperderivatives

コヒーレント領域とTor代数 - 2026/9/21の論文2本

4 min

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 closureClassification 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

4 min

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 IConductor-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

23 min

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 cyclesDimensions of a ring and its formal power series ringCohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial idealsNormality of ideals beyond the standard graded setting: families from numerical semigroup ringsA criterion for determinantal presentations of numerical semigroup ringsFinitistic injective dimension exceeding finitistic projective dimension for a commutative ringDensity functions for filtrations of graded idealsSymbolic powers of the ideal of$n$ general points in $P^{n-1}$On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-IIMaximal common divisors in monoid algebrasGeometry of three--generated ideals in the planeHamming Ideals and Grobner Bases for ISD-like Syndrome DecodingBertini's theorem for $F$-rationality is false

消去子と単項イデアルとヤコビ写像 - 2026/9/16の論文5本

9 min

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 ConstructionsStrongly multiplicative sets, idempotent localizations, and $S$-prime phenomenaOn atoms and their density in the monoid of monomial idealsNilpotent Jacobian maps in dimension three and stable tameness in block extensionsRings are $\chi$-bounded

多項式写像と環の構造と多様体 - 2026/9/15の論文14本

24 min

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 algebrasThe classification of some polynomial maps in dimension threeIndependence polynomials and the weak Lefschetz property for tadpole graphsOn a question of Nori: The high-codimension conductor caseGoldman primes and higher cyclic presentations for the small finitistic dimensionOn the iso-Artinianness of one-dimensional Noetherian ringsBaer Splitting Beyond $\tau_q$-SemisimplicityGeneralized divisor topology of commutative ringsOn simple extensions generated by key polynomialsSymmetric Models for Syndrome DecodingNagata's conjecture on a polynomial automorphism in positive characteristicAKE principles in roughly deeply ramified henselian valued fieldsPolarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zeroA blowup criterion for regularity

不変量と生成元とヒルベルト級数とランク - 2026/9/14の論文5本

8 min

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/2026-09-14/ Numerical invariants for three-generated idealsThe Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generatorsOn the Hilbert Series and Multiplicity of Generalized Binomial Edge IdealsBorder rank lower bounds beyond weak border apolarityDescent, Seminormalization, and Conductors of Sparse Profile Images

局所コホモロジーとグレブナー基底と多項式GCD - 2026/9/11の論文6本

11 min

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/2026-09-11/ The transfer of Artinian and Cohen-Macaulay properties under module-finite extensionsCategories of Multigraded Local Cohomology Modules: Serre Filtrations and Nakayama DualityAssociated primes, witnesses, and omega invariants of monomial idealsQuadratic Gr\"obner bases for cut ideals of cycles and ring graphsA New Sparse Algorithm for Polynomial GCD over IntegersOpenness of local properties in flat families of superschemes

レフシェッツ特性とヒルベルト係数と多様体 - 2026/9/10の論文10本

17 min

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/2026-09-10/ Lefschetz properties for monomial complete intersections$F$-depth and $F$-nilpotent rings: generalizations and applicationsStabilization index of V-number of powers of edge ideals of graphsKeller maps and holonomic $D$-modulesBounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimensionSecant varieties of flag varieties via Schur apolarityA lattice path model for the volume of the Monge polytopeReconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov StrataSyzygy Transformations of Cluster Characters and Geometric TwistsUnimodality shenanigans in Ehrhart theory

多項式とべき乗と次数と次元の解析 - 2026/9/9の論文19本

32 min

arXiv math.ACの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-09/ Weak Polynomial Completeness Does Not Imply Almost Polynomial CompletenessComparisons between ordinary and symbolic powers of edge ideals with respect to regularity and depthPairings on the algebra of Laurent series over a ringOn the Matlis Reflexive ModulesRanks of Verdier quotients of derived categories over local ringsA Solution to Iima--Yoshino Problem 2.3Frobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powersRegularity of symbolic powers of complementary edge idealsOn the relations among algebraic models for the MinRank problemA Counterexample to the Huneke-Wiegand ConjectureTwo Infinite Families of Regular Sequences of Power Sums in Three VariablesSparse Polynomial GCD Algorithms Asymptotically Linear in All Fundamental ParametersAn Affine Semigroup from Orbifold Boundary Conditions: cut, phylogenetic and hierarchical models in the unit-weight sector, and weighted configurations beyond themThick subcategories over weakly symmetric algebras with radical cube zeroDemailly's Conjecture in Quantum Language and Its SolutionFiltered deformations of three-variable polynomial algebrasQuasi-projective dimension and Gorenstein projective dimensionA Note on Binary Quadratic Systems and their relation to complexity theory$F$-nilpotence and Hodge filtrations beyond isolated singularities

単項イデアルと行列とD加群 - 2026/9/7の論文9本

15 min

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/2026-09-07/ On the closed neighborhood ideal of the square of broom and double broom graphsA comparison of the v-number of a monomial ideal and its integral closureAn Improved Upper Bound for the Perturbation IndexThe coordinate ring of the k-fold iterated commutator locus for 2x2 matricesAn explicit non-elementary matrix over a bivariate Laurent polynomial ringUniversality in the algebra and topology of cographsThe ozone group of $U_q^+(B_2)$Layered mixed matrices and reaction networksFiltrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials

数値半群と不変イデアルと代数構造 - 2026/9/4の論文11本

20 min

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/2026-09-04/ Power sums of critical points of gap polynomials for symmetric and pseudo-symmetric numerical semigroupsSymbolic Powers and Asymptotic Invariants of GL-Invariant IdealsRelative approximation degrees and the henselian rationality problem over perfect fieldsCohen--Macaulayness of $\mathrm{Inc}(\mathbb{N})$-Invariant Chains of Edge IdealsQuasi S-n-ideals in commutative semiringsGraded Betti numbers of graded M\"obius algebras of uniform matroidsArtin-Schreier geproci configurations in projective spaces of arbitrary dimensionKoszul Orlik--Solomon Algebras from Non-supersolvable ArrangementsA Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous IdealsThe type and cardinality of minimal presentations of numerical semigroups with embedding dimension fourAn obstruction to the maximal singularity of the Hilbert scheme of points on threefolds

グラフと多面体とStanley-Reisner環 - 2026/9/3の論文7本

12 min

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/2026-09-03/ Bouvier's Conjecture Is TrueOn the vertex connectivity of weakly zero-divisor graph of commutative ringsHomology of non-matching complexes under edge additions and applications to their Stanley-Reisner idealsLocalized Persistent Commutative AlgebraSmooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence ProblemMost $(0,1)$-polytopes are not normalCharacterization of Stanley-Reisner varieties by their automorphism group

シジジーとイデアルと代数多様体 - 2026/9/2の論文15本

26 min

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/2026-09-02/ Trace ideals of syzygiesA counterexample to the localization problem for AB ringsExtension of valuation rings as limits of complete intersection algebrasKrasner Completions of Filtered BandsUnique factorization results for generalized power seriesSymbolic Rees algebras of complementary edge idealsIntegrally closed ideals with $e_{2}(I)=e_{1}(I)-e_{0}(I)+\lambda(A/I)$Axiomatics for generic categories in positive characteristicWeighted Syzygies of Pointed CurvesPalindromic real-rooted polynomials and $h$-vectors of polytopesOn Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate VariablesResultant multiplicity via projective degrees and applications to tensor eigenvaluesOpenness of Fourier--Mukai loci for algebraic spacesCohomology characters on the incidence correspondenceDeformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series Rings

ホモロジーと特異点とイデアルと符号 - 2026/9/1の論文10本

17 min

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/2026-09-01/ Homological dimensions of derived Hom complexesWeakly Newton-nondegenerate binomial idealsThe arithmetic rank of nullcones of classical invariant ringsTruncations of the ring of number-theoretic functions, revisitedThresholds of singularities in characteristic zeroApproximating DVRs by elements of bounded ramificationThe symbolic and divisorial analytic spreads are finiteTrinomial containment in polynomial ideals is undecidablePoisson bialgebras by deformations-to-quasiclassical limitsEdge codes constructed from unicyclic graphs

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