プレプリどんどん: math.RA

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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)

  1. 21h ago

    半環と不変量とRota-Baxter演算子 - 2026/8/3の論文5本

    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

  2. 3d ago

    行列と代数構造と環の性質 - 2026/7/31の論文12本

    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 Kaplansky--L'vov ConjectureThe geometric classification of left-symmetric algebras and superalgebrasMixed-identity-freeness and primitivity of group ringsAn infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence$\mathsf{SKB}$ is not algebraically coherent

  3. 4d ago

    有限体と行列とt加法群と微分作用素 - 2026/7/30の論文4本

    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

  4. 5d ago

    正定値行列とホップ代数とコホモロジー - 2026/7/29の論文8本

    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 quasitriangular Hopf algebrasOn the flatness of the Bergman space as a module over the Hardy algebraHochschild Cohomology of the Symmetric Square of an Annulus with Stops

  5. 6d ago

    リー代数とモノイドと環の構造解析 - 2026/7/28の論文18本

    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 partially ordered semigroupsA Counterexample to Byott's Conjecture for Finite Skew BracesThe factorization system of a radical on a homological categoryCategorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion TheoriesOn the automorphisms of numerical power monoidsA Hopf algebra on permutations with a coupling productA Grothendieck category with a noetherian generator and exact products that is not a module categoryOn the distributivity of the subtractive closure operator over ideal operations in hemiringsCounterexamples to Norm Conjectures of Wehlau in Modular Invariant TheoryOn the two-copy distillability of Werner states and a new partial trace inequalityInfinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect FieldsTrace radicals and cocenters of free products

  6. Jul 27

    自由メタアベル Lie 代数とモジュールとブールネットワーク - 2026/7/27の論文4本

    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

  7. Jul 24

    対称代数と行列とジョルダン代数 - 2026/7/24の論文4本

    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/2026-07-24/ A note on symmetric midpoint algebras, or scalesThe space of two-dimensional vectors over a four-dimensional division algebra over $F_2$Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices

  8. Jul 23

    リー代数と除代数とヤコビアン - 2026/7/23の論文6本

    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/2026-07-23/ Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over realsA Reduced-Trace-Zero Element That Is Not a Commutator in a Central Division AlgebraDittert's conjecture in dimension 16 via a joint-deficit scaling lemmaDerived representation schemes with arbitrary coefficients and associative smoothnessA Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical RootsA Matrix-Degree Obstruction to Rational Generation of Boolean-Lattice Pseudo-Roots

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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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