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プレプリどんどん: math.RA

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This podcast has
143 episodes
Language
Japanese
Date created
2026/05/04
Latest episode
2026/11/11
Average duration
27 min.
Release period
2 days

Description

arXiv math.RA (環と代数) 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。 研究者の皆様の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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Check latest episodes from プレプリどんどん: math.RA podcast


代数と次元と局所構造 - 2026/11/11の論文11本
2026/11/11
arXiv math.RA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-ra/episodes/2026-11-11/ Coordinatizing coalition latticesCommutators in free skew fieldsRank Additivity and Comon's Conjecture for Real Hankel TensorsGelfand-Kirillov dimension of constants of algebraic $q$-skew derivationsFrom convolution pi-algebras to Rota-Baxter Hopf pi-algebrasAutomatic Continuity for projective clone homomorphismsRelative Derived Torsion in Categories of Reduced Modules: Comparison and Non-Noetherian ExamplesEssential $p$-dimension of simple algebras and noncrossed products of prime exponentGorenstein dimensions for stable Auslander algebras of Nakayama algebrasThe \v{C}ech-Stone compactification of the reals and coz-included sublocalesNoetherian connected braided Hopf algebras are affine
リー代数とManinトリプルと量子クラスター代数 - 2026/11/10の論文22本
2026/11/10
arXiv math.RA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-ra/episodes/2026-11-10/ Topological Lifting of Mundici Equivalence and Di Nola--Lettieri EquivalenceRigid Lie Algebras from Semisimple Lie Algebras and Their Symplectic ModulesLinear structure graphs associated with commuting graphs of Lie algebrasA seven-element interval of power-semiring varietiesA unified approach to Manin triples of Lie algebras and the corresponding bialgebra structuresInverse problem in difference Galois theoryLinear bound for commuting matrix algebra IILift Height and the Structure of Classification FailureDivision ring extensions and the realization of Coxeter diagrams $I_2(n)$Becker's Conjecture on Compositions of Higher Degree Diagonal FormsNonassociative gradings on infinite-dimensional triangular algebrasOn semigroups of order-decreasing partial isometries: presentations and ranks of certain idealsA Note on Similarity Classes From Atomic Factorizations in DomainsDualities and completions of median algebras and semilattices: a universal-algebraic approachLie algebras graded by the root system $AG_2$On the structural aspects of Convex Subhyperlattices under different ordersStatistics of centralizers of integer matricesFrobenius and ozone automorphism groups of root of unity quantum cluster algebrasInvariant operations on vector fields on the line are Lie polynomialsFrom Frobenius seeds to self-orthogonal modules over symmetric algebrasOn definable closure in closed $H$-fieldsOn $\mathrm{HH}^1$ of blocks of finite simple group algebras
代数と幾何学と変形 - 2026/11/9の論文11本
2026/11/09
arXiv math.RA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-ra/episodes/2026-11-09/ The center of an associative crossed moduleInclusions and intersections of products of verbally prime $T$-idealsWeighted \texorpdfstring{$\mathcal{O}$}-operators on pre-Leibniz algebras and post-pre-Leibniz structuresAn extension of the notion of algebraic entropyTopological Mundici Adjunction and Its ApplicationsDivision ring extensions and a counterexample to the pure semisimplicity conjectureDeformations and Local Geometry of Lie Triple System MorphismsThe quaternionic reflection groups with imprimitive complexifications and the finite subgroups of GL(2,C)Centres and semisimple deformations of contraction algebrasIsomorphic classification of the coordinate algebras of the two-parameter braided quantum groups $\mathrm{SL}_2$Two-step nilpotent varieties as categories of modules over a square ring
構造グラフと代数とモジュールと指数的成長 - 2026/11/6の論文8本
2026/11/06
arXiv math.RA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-ra/episodes/2026-11-06/ On the Connected Components of Structure Graphs of Associative RingsLocal and 2-Local Derivations of Finite-Dimensional Zinbiel AlgebrasLinear bounds and sharp exponential growth for commuting matrix algebraSimple Modules over Leavitt Path Algebras Generated by Indicator Functions on PathsArithmetic Kac Theory for Ramified SpeciesTilting bundles and modifying modules in relative dimension oneOpen Problems on the Null Space and Image Space of the Adjacency MatrixA Note on the OpenAI Construction of Counterexamples to the Kaplansky Direct-Finiteness Conjecture
表現とコホモロジーと環 - 2026/11/5の論文7本
2026/11/05
arXiv math.RA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-ra/episodes/2026-11-05/ Homology and Topology of Partially Ordered FieldsIdentities of Representation of Lie subalgebras of the first Weyl algebraHigh-Degree Restricted Cohomology for $K(3;1)^{(1)}$ in Characteristics Five and SevenOn Jordan nilpotency of index n in group ringsA topological Mundici representation theoremRepresentation embeddings and the third Brauer--Thrall conjectureThe group of strong automorphisms of the differential field of transseries
代数系とグラフとテンソルギャップの探求 - 2026/11/4の論文12本
2026/11/04
arXiv math.RA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-ra/episodes/2026-11-04/ The finite basis problem for varieties modulo x^3=0Rings in which every semiprime left ideal is an intersection of prime left idealsBinomial Artin-Schelter Regular Algebras and Twisted Monoid AlgebrasHochschild cohomology of Temperley--Lieb algebras: a Kauffman diagram perspectiveRemarks on the Farthing--Muhly--Yeend inverse semigroup of a finitely aligned higher-rank graphUpper Bounds on the Strassen CP Rank Gap and Symmetric Rank Gap of Third-Order TensorsResolvent comparison for Hermitian block matrices and Kelmans transformationsHopf algebra polynomial identities in the Sweedler algebraAlgorithmic Non-dimensionalisation of Polynomial Dynamical Systems with CRNNondimSingular solutions from simple Euclidean Jordan algebrasKaplansky's conjectures fail for torsion-free hyperbolic groups in positive characteristicA Relative Telescope-Type Conjecture: Support and Generation in Half-Bounded Derived Categories
代数構造と量子系 - 2026/11/3の論文22本
2026/11/03
arXiv math.RA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-ra/episodes/2026-11-03/ Primary components and large prime factors of cyclotomic valuesComplete Bernstein functions and real powers of P-matricesClassification of three-dimensional Leibniz dialgebras with two-dimensional annihilatorOn the lower bound of the refined Bessis--Moussa--Villani conjecture: proof of the cases S_{6,3} and S_{7,3} for 3x3 matricesIsomorphism classes and geometric classification of three-dimensional Jordan algebras and the length functionQuantum Generalized Cluster Algebras from Scattering Diagrams: Positivity and MutationLocal superderivations of Block Lie superalgebras $S(q)$Partial coactions of Hopf algebras on nonunital algebras and categoriesVarieties of associative algebras with slow central codimension growthThe Yangian associated with the binary treeIdempotent Ultrafilters and Closed Images of Complete SemilatticesCounterexamples to a Cubic Nondegeneracy ConjectureExtensions at Nonzero p-Characters for Cartan-Type Lie AlgebrasCompleting the classification of Hopf superalgebras of dimension up to 10Unbiased Low-Rank Approximation for Repeated Matrix-Vector Multiplication: Stability and Optimal SamplingAuslander-type grade conditions and subcategories related to syzygy modulesRaFH and CRaFH superalgebras: Frobenius forms, representation theory and respectabilityOn the representability of actions of algebras with several bilinear multiplicationsHow the eigenvalue region of standardized Laplacians leaves the 2005 polygonPositive integral points on Mordell-Schinzel surfacesHammock coordinates for silting subcategories of derived-discrete algebrasCentralizers of maps as automorphism groups of Yang--Baxter solutions
量子とトロピカルと代数と行列 - 2026/11/2の論文18本
2026/11/02
arXiv math.RAの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-11-02/ Weighted flip graphs from cyclic quantum mutations: pentagon inequalities and exponential separationsThe generalized core-EP inverse of operator matrices with generalized Schur complementsMoore-Postnikov supcation of simplicial sets and applications in simplicial algebrasDescent and Decomposability of Algebras of Exponent 2 in characteristic 2Extended $\mathcal{O}$-operators on Lie-Yamaguti AlgebrasKupershmidt--Nijenhuis structures on pre-Leibniz algebrasLinear Rank Nonincreasing and Preserving Maps between Matrix SpacesAlgebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generatedAnti-quadratic nearly associative algebrasQuasi-projective dimensions over homological ring epimorphismsP-generalized determinant over quaternions and its applicationsA reciprocal Schoenberg inequality and its extensionsComposition factor algebras and finite representation typeTropicalization and Polyhedral Completions of Weyl AlgebrasExtended Tropical Characteristic Fibers and Slopes of Binomial D-ModulesDerived tame monomial algebrasCoring morphisms presenting nonaffine noncommutative fibre bundlesSpectra of stochastic matrices with a Toeplitz interior
代数構造と量子代数と特殊な環 - 2026/10/30の論文29本
2026/10/30
arXiv math.RAの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-30/ Explicit matrix hitting points for noncommutative algebraic branching programsNijenhuis Lie $n$-algebrasFinite algebras whose equational probability spectrum contains a big gapTernary analogs of dendriform algebras and quadri-algebrasOn the cohomological dimension of Henselian valued fieldsIntroduction to Separable Simplicial AlgebrasA lattice order on the complex fieldMaximal regular subsemigroups containing the group of units of transformation semigroups that preserve a uniform equivalence relation with two classesEternal Total Positivity and Matrix-Dependent Hadamard ThresholdsNS-Leibniz bialgebras, the Yang--Baxter equation and relative Rota--Baxter operatorsAveraging Zinbiel bialgebrasTensor products of Leibniz bimodules and Grothendieck rings -- an addendumLocal and 2-local derivations of Block Lie algebras B(q)A note on the ideal lattice of a weighted Leavitt path algebraA counterexample to the pure semisimplicity conjectureLocal Derivations and Local Automorphisms of Arbitrary Finite-Dimensional Nilpotent Lie and Leibniz AlgebrasCharacteristic identities for orthogonal quantum matrices: examplesWidth and amplitude inequalities over DG-ringsOn End-Semidualizing ModulesOn a Conjecture of FiedorowiczDiscretisation in algebraic $K$-theory of independent ample groupoids and their Steinberg algebrasComposition factors and finite representation typeNumber of ends of conjugacy diagramsOn strongly FP-injective accessibility and weakly FP-projective periodicityEvery group is the automorphism group of a set-theoretic solution of the Yang--Baxter equationGraded Automorphism of Multiparameter Quantum Matrix AlgebraSyzygy-Quiver Formulas and Finitistic Dimensions of Special Biserial AlgebrasStandardly stratified structures from tilting modulesA Dolbeault complex for the contact quantised flag manifolds of type $\mathrm{C}_{2}$ and $\mathrm{D}_{4}$
葉の変形と融合環とグラフの相関 - 2026/10/28の論文13本
2026/10/28
arXiv math.RA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-ra/episodes/2026-10-28/ Finite Non-Commutative Centrally Essential Rings of Minimal OrderOn module endomorphisms annihilated by residually square-free polynomials over Artinian local PIRsThe Kothe Radical in Novikov AlgebrasOn \delta-derivations of \mathfrak{saff}_{n+1}Finite Matrix Rings of Even Size Are Determined by Their Commuting GraphsThe existence of the compatible lattice order on the complex field $\mathbb{C}$Classification of vanishing fusion rings of rank fourRigidity and Affine Deformations of Foliations on Nilpotent and Solvable Contact Lie AlgebrasOn the frieze patterns by Conway and CoxeterDegree-one cohomology of metacyclic $2$-groups: a low-bit dichotomyYoung's lattice, invariant ideals, and weak identitiesGKS Fully Homomorphic Encryption: Security AnalysisRank functions, $\mathbb{Z}_p$-extensions and class numbers
代数と群とクィバーと環 - 2026/10/27の論文27本
2026/10/27
arXiv math.RAの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-27/ Congruence lattices of $2$-valued unary algebrasA note on Rota-Baxter affgebrasOmni-representations of Leibniz conformal algebrasWeakly Unitary Zeon MatricesReconstruction of the Torsion Free Nilpotent Group from Its Division Ring of the Rational Group AlgebraThe silp--spli equality for group ringsNew results on nil ringsClassification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive CharacteristicIdempotent radicals and factorization systemsAn eight-dimensional nilpotent Leibniz algebra without outer derivationsPoisson closures and Poisson $A$-algebrasFinite determinacy and rigidity of quiver potentials2-generation of Chevalley Lie algebras over finite fieldsSkew fields of non-commutative meromorphic functions affiliated to finite operator algebrasThe generalized Dixmier conjecture and the two-dimensional Jacobian conjectureNon-Vanishing Determinant Space-Time Codes from Abelian Crossed Product AlgebrasA nonstandard selfinjective algebra of Euclidean typeFrom Quaternions to Pentarnions II: quadratic differential equationsA Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamicsAutomatic cocommutativity for the quantum-group comonadThe ascending chain condition for radical well-mixed difference idealsHomological and homotopical epimorphisms in monoidal $\infty$-categoriesResolution quivers and the QF-1 property of higher Auslander Nakayama algebrasCross work induced by transformations on the symmetric group and related transformation semigroupsOn Tam's star-shapedness conjecture for numerical ranges of compact adjoint orbitsProofs of strong forms of the Bovdi--Geche universality conjecture and a complex analogueThe counts of parity-odd vs even late-growing permutations in the group $\mathbb{S}_{2p-1}$ differ by $(-1)^p$
Zinbielとbracesと有限体 - 2026/10/26の論文6本
2026/10/26
arXiv math.RA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-ra/episodes/2026-10-26/ Finite stabilization, socle extensions, and Faith's conjectureBiderivations of Null-Filiform and Filiform Zinbiel AlgebrasCofinite integral braces and crystallographic groupsOptimality of finite field dimension expandersRestricted isometries in finite-dimensional $\ell^p$-spacesLinear transformations of tropical matrices preserving individual values of the cyclicity index
Lie超代数とJordan代数とペンタニオン - 2026/10/23の論文8本
2026/10/23
arXiv math.RA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-ra/episodes/2026-10-23/ Simple finite-dimensional binary Lie superalgebrasClassification of compatible left-symmetric conformal algebras on solvable Lie conformal algebras of rank twoA parametrization of nonassociative Petit algebras $K[t;\sigma]/K[t:\sigma](t^m-a)$ up to equivalenceDegenerations of Jordan algebrasFrom Quaternions to Pentarnions I: Algebra, geometry, and a spin modelBipartite solutions of the set-theoretic Yang--Baxer equationSum-rank analogues of Reed--Muller codes over Abelian Galois extensionsProperties of theories whose algebras are free
八元数とモウフループと非可換シーケンス代数 - 2026/10/22の論文11本
2026/10/22
arXiv math.RA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-ra/episodes/2026-10-22/ Algebras with bounded multiplicities of the central cocharactersA sharp weighted commutator inequality for rank-one matricesContinuous spectrum-shrinking maps between finite-dimensional power-associative algebrasUnitary similarity for dual complex matrices and dual quaternion matricesClosedness of bounded strength and partition rank lociThe Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ SymmetriesRamified convolution and monodromy bases for symmetrizable Kac--Moody algebrasFrobenius forms and semisimplicity of cyclotomic quiver Hecke superalgebrasExtending Doi--Takeuchi correspondence to bimodules and noncommutative coversOn unit groups of purely infinite ringsMultiplying matrices via polynomials: exposition and barriers
量子共役とテンソル圏とセミ環 - 2026/10/21の論文5本
2026/10/21
arXiv math.RA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-ra/episodes/2026-10-21/ On the square of an isosimple moduleThe algebraic and geometric classification of post-$3$-Lie algebrasThe Finite Basis Problem for Multiplicatively Idempotent SemiringsQuantum polynomial-time conjugacy in metabelian groupsLie algebras in symmetric tensor categories

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