
プレプリどんどん: math.RA
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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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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arXiv math.RA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-ra/episodes/2026-08-28/ Quantales as formal concept latticesFunctional identities of degree 2 at two-sided zero products on incidence algebrasDiameter of the commutativity graph of the real sedenionsOn doubly alternative zero divisors in Cayley-Dickson algebrasRelation graphs of the sedenion algebraVery good gradings on structural matrix ringsFree Novikov-Zinbiel algebraThe weak bialgebra structures on $\mathbb{k}^{\oplus n}$Finite semisimplicial sets, differential graded algebras, and cellular sheavesDisjoint and
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/2026-08-27/ Hereditary QF-$3^{+}$ ringsCohomology and extensions of Novikov algebras of truncated polynomialsSome results on null ideals of finite rings
arXiv math.RA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-ra/episodes/2026-08-26/ An Explicit Counterexample to the Rank-Two Poisson ConjectureConstruction of diassociative bialgebras from antisymmetric infinitesimal bialgebras and related algebra structuresFree left $h$-Ehresmann semigroupsTorsion and exactnessA counterexample to a global-dimension bound for weighted projective linesBorel completeness of $R$-modules when $R$ fails the DCC on pp-definable subgroupsIntegral quadratic forms over a ring of $p$-adic integersBraces on the cohomology of noncrossing 2-partitionsT
arXiv math.RA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-ra/episodes/2026-08-25/ Integrable Generators of Algebraic Vector Fields for Real Connected Semi-simple Matrix GroupsQuantum regularity of finite dimensional semisimple algebrasLeibniz bialgebras constructed by tensor product from Lie bialgebras and perm bialgebrasHochschild cohomology and AS-Gorenstein property of weak Hopf Galois extensionsExtended $\mathcal{O}$-operators, extended perm Yang-Baxter equations and related structuresLeibniz algebras and their connection to Jordan pair disystemsMarshall Quotients of
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/2026-08-24/ Barr-Exactness and Congruence-Based Homological Algebra in Ternary $\Gamma$-SemimodulesProjectivity and flatness over the endomorphism ring of a finitely generated $(H, {\mathcal C})$-comodule$N$-Koszul algebras of finite global dimension for $N\geq 3$The Parafree Conjecture for associative algebrasModule-Valued 2-Local Derivations on Reductive Lie AlgebrasA note on $N$-Koszul algebras of finite global dimension\c{S}tefan spectral sequence for faithfully flat Hopf Galois extensions is multip
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/2026-08-21/ A New Impossibility Region for the $5\times5$ Symmetric Nonnegative Inverse Eigenvalue ProblemDisuccessors, Gr\"obner-Shirshov bases and free L-dendriform algebrasA rock-paper-scissors Mandelbrot setThe lattice of abstract elementary classes of modulesRecollements of derived categories from $n$-term big tilting complexes
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/2026-08-20/ Entrywise Positivity Preservers on Green MatricesA left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$Structure and Complexity of 2-Nilpotent Mal'cev AlgebrasPositivity preservers over finite fields IIThe $6\times6$ equality case of matrix spaces with rank-two commutatorsNew Nonexistence Results for Circulant Weighing MatricesMaximal ideals in the finitary symmetric group algebra in characteristic two
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/2026-08-19/ Decomposition of a square matrix into a product of a nilpotent matrix and an involutive or idempotent matrixPositive definite, positive semidefinite and totally positive matrices over finite fieldsA strongly compact cardinal yields a left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$Deformations and homotopy theory of Rota-Baxter Lie algebrasAn equidistribution conjecture for quotient-closed and submodule-closed subcategories
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/2026-08-18/ $F$-congruences on $F$-inverse monoidsOn Locally Generalized radical linear groups over ringsAffine Nilpotency and Engel's Theorem for Lie AffgebrasSome results on Hom-Novikov superalgebras and Hom-anti-pre-Novikov superalgebrasEigenvalues of locally positive semidefinite matrices: Non-convexity and GeometrySupport $\tau$-tilting posets and Hochschild reconstruction for matrix centralizer algebrasSuperalgebras and Algebras with Involution: Classifying Cubic Codimension SequencesModified indu
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/2026-08-17/ Sum of two strictly n-zero matricesMittag-Leffler Conditions, Gorenstein Modules and Homological InvariantsLocal Smith Profiles of Twisted Calabi--Yau AlgebrasCleft Extensions for Hopf Algebroids without AntipodesA counterexample to a question on the maximality of purely-primesBrauer graph algebras are closed under stable equivalence of Morita type
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/2026-08-14/ Some more talents of the talented monoid of a higher-rank graphInjective Rota-Baxter operators of weight 1 on $F[x]$Integer-valued polynomials over structural matrix ringsNull polynomials over a finite ring need not form a two-sided idealSimple double Lie algebras on the Laurent polynomial spaceThe Tropical Algebra of Binary-Tree HeightFrom Lie--Rinehart Algebras to $F$-Manifold AlgebrasAbsolutely flat algebras in tensor categories
arXiv math.RA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-ra/episodes/2026-08-13/ Bivariate quaternionic factorizations and surfaces that decompose into two circlesThe finite basis problem for the flat semirings $S(W)$
arXiv math.RA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-ra/episodes/2026-08-12/ Direct Sum and Direct Product Decompositions of Multivariate FunctionsHybrid core-EP-$(b,c)$ inverses in ringsOn the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring IsomorphismsFixed-Lowering $\mathfrak{sl}_2$-Triples for Laurent-Shift Operators: Exact Stencil Endpoints and Recurrence LocalityBalanced pairs of Cartan-Eilenberg complexes over virtually Gorenstein ringsDecomposition-Closed Sublattices as Minimizer Sets of Modular Functions over Distributive La
arXiv math.RAの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-11/ Amenability is not sensitive to the base fieldDeterminant Factorization of Left Multiplication in the 32 Dimensional Cayley Dickson AlgebraPoints with Commuting Coordinates over Division Rings$R$-Bunce-Deddens AlgebrasPre-symplectic left-symmetric algebrasGorenstein homological dimension of group extensionsFree nearringsAn extension theory and semidirect sums for nearringsPermutation Ploynomials over $\mathbb{Z}_{n}$ and T-quaternion RingsA further study of quandles and quandle ringsAnnihila
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/2026-08-10/ Post-Poisson algebras, extended $\mathcal{O}$-operators and extended Poisson Yang-Baxter equationsNoncommutative Rational Sums of Squares in Free AlgebrasComparing self-dual corings, Frobenius corings and Ringel self-duality
arXiv math.RA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-ra/episodes/2026-08-07/ Linearisation, splitting property and homotopy algebras
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/2026-08-06/ Solvable Quadratic Lie algebras up to dimension 7Two absolutely bounded determinantal ratiosComposition algebras in symmetric tensor categoriesOn abelian complex structures on Nilpotent Lie AlgebrasGradings by cyclic groups on classical simple Lie algebras in prime characteristicsA variation of Eichler's proof of the Baker-Campbell-Hausdorff formulaKemeny's constant and Braess cliques in graphsScattering diagrams for Artin algebrasThe Born Representation Theorem and the Unistochastic Theorem
arXiv math.RA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-ra/episodes/2026-08-05/ Hom-Poisson superalgebras with nondegenerate bilinear forms and compatible Hom-anti-pre-Poisson superalgebrasFinite-field Krasner quotients: isomorphism thresholds, characteristics, and censusesA Martindale-like Ring of Quotients for any ringA note on some upper bounds for the Frobenius norm of the $q$-deformed commutatorProtected corners and a trichotomy for Han's conjectureCyclic-by-abelian counterexamples to the second and third Zassenhaus conjecturesPrimitive central idempotents of a fini
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/2026-08-04/ A counterexample to Han's conjectureDynamics on graphs with disjoint cycles and applicationsClifford Algebra Calibration Post-Quantum CryptographyFrom Eigenvalues/Eigenvectors of Hypermatrices to Canonical Form of TensorsOn anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebrasNon-finitely Presented Lie Algebras of Type $FP_2$On noncommutative Hom-anti-pre-Poisson superalgebras and related structuresIdempotents, automorphism groups, and commutator widths of quand
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/2026-08-03/ Alternating Quinary Cores of Complete Atomic Ternary $\Gamma$-Semirings: Representation, Binary-Collapse Rigidity, and Witness GeometryAdditive preservers of permanent rankMonomial Rota-Baxter and averaging operators on $F[x, x^{-1}]$Regular Borel subalgebras of the Lie Algebra of Aut($\mathbb{A}^2$)Higher-Dimensional Symbolic Dynamics: A Textile Framework For 3-graphs
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/2026-07-31/ A Bounded Determinantal Ratio for Positive Definite MatricesOn equivalence classes of dissipative Hamiltonian pencilsThe Type III realisation conjecture of Kirkland and \v{S}migocHidden decay in the inverses of acyclic matricesInverse acyclic Z-matrices, matrices of tree structure and shifted generalized ultrametric matricesOn phi-(k,n)-absorbing delta-primary hyperidealsCertain functional identities on matrix ringsPolynomial Maps with Constants over Division Algebras and the Generalized Kap
arXiv math.RA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-ra/episodes/2026-07-30/ Automorphism Group of the Spectral Incidence Graph over Finite FieldsSNT-Rank: Kronecker Products and Euclidean Distance MatricesOn purity of Anderson t-modulesAlgorithms for Linear Ordinary Differential Operators
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/2026-07-29/ Positive definite matrices and involutions: the manners of their infinite cousinsClosure operators on semilattice-ordered semigroups and spectrality of induced operationsIterate Wronskians over $\mathbb{R}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\ldots,x^d]$: the $N$-bonacci numbers bound the highest total degreesHyperstructures as complete atomic Boolean algebrasNijenhuis modules and the ring of Nijenhuis operatorsProtomodularity of cocommutative Hopf monoids in duoidal categories and quas
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/2026-07-28/ Non-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radiusLocal Derivations on a Block-type Lie AlgebraLocal and 2-Local automorphisms of n-dimensional totally graded filiform Lie algebrasCohomological dimension of a Lie algebra homomorphismGeneral Polynomials and Eigenvalues Over Cayley--Dickson AlgebrasA canonical rigid direct-system representation of finite local-unit-aligned totally ordered monoidsResidual coherentization of balanced residuated parti
arXiv math.RA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-ra/episodes/2026-07-27/ Level Quotients of Free Metabelian Lie Algebras: Inverse Systems and Graded Deformations$n$-Absolutely pure and $n$-flat modules, revisitedDynamics Decomposition of Boolean Networks: An algebraic foundationQuotients of mosaics and related hyperstructures