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プレプリどんどん: math.RA

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This podcast has
117 episodes
Language
Japanese
Date created
2026/05/04
Latest episode
2026/10/02
Average duration
23 min.
Release period
2 days

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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


Lie代数とオペラドと非可換多項式 - 2026/10/2の論文16本
2026/10/02
arXiv math.RA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-ra/episodes/2026-10-02/ On extensive amenability of algebrasAn Algebraic View of Amenable GroupoidsRational linear forms of linearizable ordinary differential equationsLocal and 2 local $\frac{1}{2}$-derivation of $n$-dimensional totally graded filiform Lie algebrasThe Comon Rank Gap of a Third-Order Symmetric Tensor Can Exceed OneThe Weight Criterion, Dong Property, and Manin Products of OperadsOn a Rank Nullstellensatz Conjecture for Noncommutative PolynomialsThe Derived Algebra of Nonlinear Polynomial Divergence-Free Vector FieldsIdeals of homomorphic images of the enveloping algebra of the Witt algebraInvertibility of structured perturbations of singular matrices over unital ringsContraction Algebras, Cyclotomic Forms, and Reflection RigidityMagnitude of module categories and special biserial algebrasEndomorphism algebras of Gorenstein-projective modules over string algebrasAn Explicit Polynomial Counterexample to Connes' Embedding ConjectureDimension subrings of Lie ringsOn The Index of Polynomial Compositions over Valued Fields
テンソル、導出、そして構造の変異 - 2026/10/1の論文12本
2026/10/01
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/2026-10-01/ Algebraic derivations and radicals of automorphism groups of algebrasTensor factorization of local algebrasQuotient Morita Theory with ApplicationsPerspectivity and the perspective-Schr\"oder-Bernstein PropertyA Koteljanskii inequality for permanentsHigher Cotorsion Pairs on Image-Nilpotent \(\eta\)-ExtensionsTilting mutation of gentle algebras and its combinatorial descriptionTensor Product Does Not Behave Additively on Delooping LevelLattice of 456 semigroup varieties from equations of order up to 4Characterization Results on Generalized Smash Biproduct Hopf Algebras over the Partial Dual ConstructionDiscrete differential-geometric Poisson brackets: general theory and explicit constructionsExact sequences of representation categories of weak Hopf algebras
ゴレンシュタインとモジュールと行列の解析 - 2026/9/30の論文14本
2026/09/30
arXiv math.RA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-ra/episodes/2026-09-30/ Exponent Profiles of Oscillatory Matrices under Matrix and Inverse SparsityGorenstein homological properties of n-trivial extensions of ringsSquare matrices with integer eigenvalues under entry permutationsIrreducible $\mathbb Z_+$-modules over $\mathbb Z[\sqrt[m]{d_1},\sqrt[m]{d_2},\ldots, \sqrt[m]{d_r}]$Representation of abstract pseudogroupsSchreyer Resolutions over the Exterior AlgebraEuclidean modules, submodules of their direct sums and strong reduced echelon formGroup-graded Ore extensions and graded simplicityZero divisors of Gorenstein RingsA note on inverse limits of injective modulesAlgebraic Vector Fields on $S^2$ are $2$-generatedThe Karcher Mean on $2\times 2$ Triangular Matrices with Positive Diagonal EntriesDirac operators for Cartan motion groupsA Note on Universal Positivity of Rank-Two Quantum Greedy Elements
MATH-RA - 2026/9/29の論文25本
2026/09/29
arXiv math.RAの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-29/ Algebras with Variable Structural Constants and Their ApplicationsAlgebras with Variable Operator-Valued Structural Constants and Their ApplicationsRelative Global Dimension of Controllable ExtensionsAugmentation-Ideal Realization of Special Nottingham Congruence Series and Cartier IndecomposablesExtremal Derived Length in the Unipotent Radicals of Cartan-Type Automorphism GroupsDual reflection groups for three-dimensional Artin--Schelter regular algebras$\Hom$-Lie structures on Lie algebrasGlobal and local triviality for extensions of ample groupoids: an algebraic approachConservative CSPs in Symmetric Linear DatalogCommutative algebras are ideals of evolution algebrasOn nilpotency in pre - Lie algebrasNon-degenerate bilinear forms and left-symmetric structuresA proper dg algebra which does not cogenerateStrong and Explicit Forms of the One-Sided Nullstellensatz over Division RingsSigned Euler--Smith Profiles of Graded AlgebrasGr\"{u}n's Lemma for Semiassociative Mal'cev AlgebrasNon-commutative frieze patterns over quaternion algebras and other normed division ringsDerived Delooping Levels of One-Point Extensions and Finitistic DimensionsNonunimodal principal spectra of Frobenius parabolic Lie algebrasGrothendieck rings of pivotal fusion categories of rank fourThe Conway-Parker algebra and the largest Fischer groupQuasi-cellular categories and the structure of the Brauer categoryThe Karcher Mean on Lie Groups of Upper Triangular MatricesA B\'ezout domain that is not an elementary divisor domainKeller's conjecture for split finite-dimensional algebras
MATH-RA - 2026/9/28の論文8本
2026/09/28
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/2026-09-28/ The Hua identity implies alternativityThe $m$-Invariant of Fields of Characteristic 2Fast factorization in diagram monoidsAsymptotic completions of preordered semiringsBoolean Trusses as Rectangular Bands and Boolean RingsThe Hilbert Basis Theorem for Non-Associative Skew Power Series Rings and Non-Associative Skew Laurent Series Rings over a Non-Associative Coefficient RingQuantum Laurent positivity in rank threeQuasi-equivalence of relabeled positroid cluster structures
MATH-RA - 2026/9/25の論文7本
2026/09/25
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/2026-09-25/ Duality for matrix space questionsOn the Regularity and Clean Properties of Matrices over Dual NumbersDifferential perm bialgebras, differential perm Yang-Baxter equation, and their applications in related bialgebra structuresFailure of Ado-type theorems for preLie and postLie algebrasTotal rings of quotients of higher dimensional Iwasawa algebrasBi-Oriented Interlaced Matrix Multiplication and an Operator Factorisation of the Quantum Harmonic OscillatorMultivariate Quandles as Groupoid Invariants
MATH-RA - 2026/9/24の論文13本
2026/09/24
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/2026-09-24/ Integral Dependence over One-Sided Ideals, Part II: G-Left Ideals and the K\"othe ProblemPhantom categories on 3-vertex directed DG quiversToeplitz multiplication and graded factorization of determinant recurrencesControlling graded Lie algebras and cohomologies of double Lie algebrasEquality cases for matrix spaces with bounded-rank commutatorsSome constructions of antisymmetric infinitesimal bialgebras and their applications to Lie bialgebrasFactorizable Lie conformal bialgebras, quadratic Rota-Baxter Lie conformal algebras and some induced structuresBraidings, duoidal categories and pre-Cartier structures for bi(co)modulesAlmost subtractive submonoids of additive monoids and related quadratic formsOoms spectra of Frobenius maximal parabolics: strict unimodality and Euclidean log-concavityDefinite integral Albert algebras: arithmetic and finite geometryLifting $A_\infty$-structures through coverings with applications to fractional Brauer graph algebrasA 27 x 27 x 27 counterexample to Comon's conjecture
MATH-RA - 2026/9/23の論文12本
2026/09/23
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/2026-09-23/ Idempotent-free non-solvable evolution algebras over $\mathbb{C}$Reflectors and the Globalization Problem for Partial Actions of SemiconstellationsOn the Peirce spectral rigidity of decorated incidence algebrasOn multilinear polynomial identities for $2\times2$ matrices in characteristic $2$A counterexample to Enochs' conjecture under $V=L$Graphs of Moore-Penrose inverse of matrices possessing the treeangle propertyStochastic realisers of non-degenerate full-degree Type II reduced Ito polynomialsCritical Invariant Polygons and the Farey--Ito Boundary of Stochastic SpectraFrobenius functors and $n$-torsionfree objectsK\"ahlerian oxidation and reduction of Lie algebras with K\"ahler structuresExt-groups of graded comodulesRepresentation-tame Gei\ss-Leclerc-Schr\"{o}er algebras and a revised GLS conjecture on root systems
行列と代数と導出と構造 - 2026/9/22の論文24本
2026/09/22
arXiv math.RA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-ra/episodes/2026-09-22/ On the positive semidefinteness of a class of Hermitian Cauchy-like matricesPositive Eigenvalues of Circulant Hadamard Square RootsThe $\phi$-conjugation of quaternionic matrices and generalized Autonne-Takagi factorization$\boldsymbol{i}$-conjugate for quaternionic matrices and related propertiesAssociativity of the $\star$-product of skew bracesSymmetry reductions and recurrence degrees for banded Toeplitz determinants and permanentsProof of Nobori's generalized B\"ottcher-Wenzel inequality conjectureUniversal Enveloping Algebras of Hom-Lie Algebras with $\alpha$-DerivationsIdempotent words in finite-dimensional simple Jordan algebrasAutomorphic Transcendence Degree, Growth, and Skew NormalizationThe Auslander--Reiten conjecture for quantum complete intersectionsLocal Derivations on Conformal Galilei Algebras and Their Central ExtensionsAutomorphism Groups of Three-Dimensional Leibniz Algebras: A Complete DescriptionDerivation Algebras of Three-Dimensional Leibniz Algebras: A Complete DescriptionSemicommutativity via Zero-Insertive Elements: Insights from Path and Leavitt Path AlgebrasOn the existence of divisible non-injective modules over Leavitt path algebrasWhen twist of a Leavitt path algebra is again a Leavitt path algebraTerminal Ambiguity Geometry for Finite-Dimensional AlgebrasSkew braces whose left series is not generated by right-normed star productsFrom $\tau$-tilting to $\tau_2$-tilting via splitting tilting triplesThe Coproduct of Ideals and the Coprime SpectrumTransferred $L_\infty$-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras2-step ideals and commuting matrices$\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groups
代数構造と表現と演算子 - 2026/9/21の論文8本
2026/09/21
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/2026-09-21/ Just-Infinite Loops and Loop AlgebrasA classification of group gradings on incidence algebras over commutative ringsLocal and Quasi Derivations of the Mirror Heisenberg-Virasoro AlgebraNoncommutative resolutions of noncommutative isolated singularitiesSuper adaptable graphs and the realization problemStructure and Representations of Restricted Lie color triple systemsRestricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structuresCohomology, Extensions and Deformations of restricted Lie triple systems
環と代数と表現と不変量 - 2026/9/18の論文13本
2026/09/18
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/2026-09-18/ A Characterization of Local Nilpotence for Derivations of Ore ExtensionsLocally finite Schreier VarietiesOn the trace identities of 2-dimensional tr-prime algebras over a finite fieldGeneralized $t$-Fine and Quasi $t$-Fine RingsOn $\ast$-Reversible and Generalized $\ast$-Reversible RingsTransposed Triple Products and Pro-Symmetric Rings in $\ast$-RingsInduced and Restricted Representations of Kumjian--Pask Algebras of Higher-Rank GraphsRange-compatible homomorphisms on Hermitian matricesPolynomial identities, central polynomials and cocharacters of $M_2(F)$ with transpose superinvolutionPolynomial identities, central polynomials and cocharacters of $M_2(F)$ with $G$-graded involutionDirected partial orders on the complex number fieldTachikawa's second conjecture implies the Auslander-Reiten conjectureCanonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroups
ファジィ部分空間と代数とリー代数 - 2026/9/17の論文5本
2026/09/17
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/2026-09-17/ Fuzzy subhyperspaces generated by admissible mappingsGrowth functions of algebras and an application to Leavitt path algebrasA parity obstruction to completeness of object cotorsion pairsOn the number of modular pairs in finite dimensional Lie algebras on finite fieldsLocalizing the Gardam unit: the support geometry of units in F_2[P] and its non-unique-product relatives
有限スキューブレースと格子とモノイド - 2026/9/16の論文5本
2026/09/16
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/2026-09-16/ Relative commuting probability and BFC-type results for finite skew bracesRegular Sublattices, O Closed Ideals and Dedekind MacNeille CompletionsThe prime spectrum of the talented monoid of a higher-rank graph and applicationsReduction techniques for the derived delooping levelsA Differential Algebraic Framework for Boundary Layer $\alpha$-Models
ポアソン代数と行列と量子クラスター代数 - 2026/9/15の論文24本
2026/09/15
arXiv math.RA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-ra/episodes/2026-09-15/ Constructive recurrences for determinants and permanents of banded Toeplitz matricesDedekind Poisson Algebras over Arbitrary FieldsOn the Structure of Low-Dimensional Poisson Algebras over Arbitrary FieldsOn flat pseudo-Euclidean solvable Malcev algebrasExtending structures for the linear framework of Universal Algebra with applications to transposed Poisson algebrasMatrices over non-commutative rings as sums of fifth and seventh powersYang-Baxter permutation group actions on distributive Yang-Baxter algebrasFast tensor transforms and ring-valued orthogonal matrices: an application to cryptographyPHP decompositions and primitivity of group rings for linear groupsThe K\"othe conjecture via point modulesQuaternionic Reflections and Lie Generation in $G_2$On implicit operations and balanced categoriesThe Cuntz semigroup of rings with stable rank oneOne-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebrasBasis Rigidity of the AES S-box and Generic Rigidity of Inversion under Affine TransformationsSimple Harish-Chandra bimodules in positive characteristicsAcyclic quantum cluster algebras via Hall algebras associated to cluster categoriesIgusa--Todorov Algebras and the Auslander--Reiten ConjectureEssential quotients of the cohomology of products of symmetric and alternating groupsNew runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$Generating hypotheses along the motivic deformationMixing Extriangulated Model StructuresLaurent Symmetric FunctionsIntegral quiver presentations for $\mathscr R$-trivial semigroup algebras
環とリー代数とブラテリ系 - 2026/9/14の論文3本
2026/09/14
arXiv math.RA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-ra/episodes/2026-09-14/ Notes on Reversed Products of Two Elements in RingsOn the growth of Lie algebras and Jordan algebrasUniqueness of Rank-Metric Completions of Bratteli Systems

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