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)

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環と代数と分解と不変量 - 2026/8/12の論文15本
Yesterday at 5:00 AM

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 LatticesVirtually Gorenstein Artin algebras are weakly GorensteinReconstruction of Torsion-Free Abelian Groups from Rational Group FieldsMutation-preserving generalized cluster algebras and Laurent mutation invariantsArmendariz ring property via idempotent elementsDifferential varieties of upper triangular matricesNormality of Relati...


環と代数とグラフと準環 - 2026/8/11の論文20本
Last Tuesday at 5:00 AM

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 ringsAnnihilator Digraphs and Extended Zero-Divisor Digraphs of Semigroups and RingsDecompositions of Griess algebras beyond the OZ-settingOn minimal noncommutative ringsElementary first integrals of integral differential systemsPrincipal-unit Di\c{t}\u{a}-type Butson matrices: character-t...


ポアソン代数と平方和とコリング - 2026/8/10の論文3本
Last Monday at 5:00 AM

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


線形化と分割性とホモトピー代数 - 2026/8/7の論文1本
Last Friday at 5:00 AM

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


リー代数と組成代数と環とグラフ - 2026/8/6の論文12本
08/06/2026

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 TheoremOn simples in a cosilting heart and mutation of cosilting pairsAssociative/Lie radical (co)invariance under tracial (co)actionsNear-Rings and Skew Braces


代数構造と商環と群の性質 - 2026/8/5の論文9本
08/05/2026

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 finite group over a fieldFixed Points, Stability, and Basin Geometry of the $3\times 3$ Correlation MapPoint modules of Nichols algebras over non-abelian groups


代数構造とグラフ理論と量子暗号 - 2026/8/4の論文13本
08/04/2026

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 quandle algebrasInvertible linear preservers of semipositive matrices - a dimension free approachTheory of extension of commutative poisson algebraKaplansky classes and stabilityChevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde categoryUndecidability of the Diophantine problem for one-relator gr


半環と不変量とRota-Baxter演算子 - 2026/8/3の論文5本
08/03/2026

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


行列と代数構造と環の性質 - 2026/7/31の論文12本
07/31/2026

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 al


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
07/30/2026

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


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
07/29/2026

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 St


リー代数とモノイドと環の構造解析 - 2026/7/28の論文18本
07/28/2026

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 monoi...


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
07/27/2026

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


対称代数と行列とジョルダン代数 - 2026/7/24の論文4本
07/24/2026

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


リー代数と除代数とヤコビアン - 2026/7/23の論文6本
07/23/2026

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


零因子とテンソルと準体 - 2026/7/22の論文5本
07/22/2026

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/2026-07-22/

Basic Zero Divisor Mathematics (I)A Counterexample to Wehlau's Conjecture on Noether NumbersRemainders of generalised Taylor expansions and a priori bounds for rough differential equationsOn the Slice Rank of Tensors in P-Echelon FormOn the autotopism groups and the equivalence of finite cyclic semifields


代数構造とグラフと行列と符号 - 2026/7/21の論文11本
07/21/2026

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/2026-07-21/

Directed Extended Zero Divisor Graphs Of Non-Commutative SemigroupsThe group $\mathrm{TK}_1$ of graded and valued division algebrasHochschild theory of multiplicative sequences of algebras and coalgebra measuringsAffinization of algebraic structures: Poisson algebrasCohomology for Deformation maps on quasi-twilled Lie triple systemsExpanding Generalized Fine RingsA Log-Log Saving for Matrix-Algebra Length and TersenessClifford and Weyl algebras in symmetric tensor categoriesVariations on a circular Hessenberg pairSkew CRT codes and their decoding in poly skew metricTotally Positive Matrices and the Highest-Order Coefficients of the Characteristic Polynomial


環と代数と逆行列と群 - 2026/7/20の論文6本
07/20/2026

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/2026-07-20/

New partial orders on Rickart *-ringsBounds on Frobenius dimensionDirect Methods for Singular Fuzzy Linear Systems Using Generalized Inverses and Its ApplicationsNotes on universal C*-algebrasOn Generalized von Neumann Inverse Graphs of Finite Commutative Regular RingsThe Mathieu group ${\sf M}_{12}$ vs ${\mathbf{SL_3(3)}}$ in characteristic 3


行列とホップ代数とシンプレクティック形式 - 2026/7/17の論文5本
07/17/2026

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/2026-07-17/

$m$-nil-clean nonderogatory matricesQuotients of strongly graded quasi-Hopf algebrasLarge affine spaces of symplectic formsOn the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution AlgebrasIn Memoriam: Professor Dr. Winfried Bruns (1946--2026)


表現とモノイドとヤンバクスター方程式 - 2026/7/16の論文3本
07/16/2026

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/2026-07-16/

Words don't come easy: strong affine representations of the polycyclic monoidsInvolutions of (twisted) diagram monoidsGaussian solutions to the Yang--Baxter equation and their twists


行列と代数構造と量子アルゴリズム - 2026/7/15の論文6本
07/15/2026

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/2026-07-15/

Dual orthogonal tripotent matricesInitial pre-algebras as a generalization of dendriform algebrasQuantum algorithm for Clifford multiplicationThe Center of the Temperley-Lieb AlgebraAlgebraic structures on non-Archimedean Urysohn universal metric spacesClifford semigroups and the monoidal Grothendieck construction


行列と代数構造と不決定性 - 2026/7/14の論文20本
07/14/2026

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/2026-07-14/

Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar constructionHigher-power inverse functional identities and Frobenius collision obstructionsUniversal optimality of the double-centred matrix under unitarily invariant norms for dissimilarity dataCompleting the rank identity for Hadamard powers of Euclidean distance matricesGelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and ClassificationThe finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$Commutativity of Factor Ring R/P via *-Reverse P-DerivationsCommutator-based Solutions to $AXA = XAX$ when $A^n = tA^2$Generalized EP properties of (b c) inversesMatrix generators for the unit groups of $L_K(1,d)$Extended...


双対行列と極分解 - 2026/7/13の論文1本
07/13/2026

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/2026-07-13/

On Polar Decomposition of Dual Matrices


有限環とテンソル積と代数構造 - 2026/7/10の論文8本
07/10/2026

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/2026-07-10/

Waring Problem for matrices over finite local ringsA majorization relation for a sum of two tensor products of positive semidefinite operatorsInvertibility of Anticommutator and Commutators of Higher Degree of $n$-potent ElementsOn Complement and Supplement Ideals of NearringsOn $q$-pre-Lie algebrasA technique for computing oriented cohomology rings of semisimple algebraic groupsA Study Of Skew-Polycyclic Codes Over A Non-Chain RingProof of Rump's Retraction Conjecture for Quasilinear Cycle Sets


代数構造とベクトル場とイデアル - 2026/7/9の論文6本
07/09/2026

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/2026-07-09/

Graded Locally Finite and Just Infinite Steinberg AlgebrasMutation matrices from Poisson CGL extensionsOn the simplicity of Katsura algebrasMaximal-Hull $z$-Ideals, Congruence Closures, and Coherent Frames of Commutative SemiringsLattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity $x^{2^n}\approx x$Noncommutative vector field calculi


代数構造と同型写像と行列関係 - 2026/7/8の論文5本
07/08/2026

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/2026-07-08/

Finite dimensional zero Jordan product determined algebras are generated by idempotentsAutomorphism group schemes of Kantor pairs of associative central simple structurable algebrasLie and Jordan Isomorphisms of Algebras of Triangular Matrices over Associative RingsCircular Hessenberg pairs and the tridiagonal relationsGeneralized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions


リー代数と融合則とテンソル - 2026/7/7の論文5本
07/07/2026

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/2026-07-07/

Fusion rules from the Norton inequalityLie algebras and coherenceSome terminal orders on 3-foldsAffine cellular algebras and asymptotic algebrasPiecewise Symmetric Tensors


微分多項式環と純無限性 - 2026/7/3の論文2本
07/03/2026

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/2026-07-03/

Bimodules in differential polynomial ringsPure infiniteness and primary factorisation


代数構造と圏論と超導出 - 2026/7/2の論文10本
07/02/2026

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/2026-07-02/

Solvability and nilpotency of transposed Novikov-Poisson algebrasThe Equivalence Problem for Generalized Airy OperatorsLocal (Anti-)Superderivations on Nilpotent Lie SuperalgebrasSums of units in finite rings and applications to Cayley graphsOn a new class of high-corank Kac-Moody algebrasHopf algebraic homogeneous spaces interpreted rationally: the Abe-Kanno theoremFukaya categories of Coulomb branches as unique deformationsResidual finite-dimensionality of ultragraph algebras via branching systemsLarge silting mutation in extriangulated categoriesDouble Transposed Poisson Algebras


ジョルダン平面とリー代数と行列環 - 2026/7/1の論文6本
07/01/2026

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/2026-07-01/

Prime spectrum and representations of the super Jordan planeInfinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebrasRandom generation of the special linear Lie algebra over finite fieldsEmbedding a graded matrix algebra into an elementary gradedOn a family of liftings of the Jordan planeIntersection theorems over DG-rings revisited


代数構造とコホモロジーと表現論 - 2026/6/30の論文12本
06/30/2026

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/2026-06-30/

Deformation maps on quasi-twilled Lie conformal algebrasThe PI property of skew PBW extensionsPure projective tilting modules associated with a special ring and Goresntein propertiesAxial Algebras: Questions and ConjecturesSteinberg Algebras of Ample Semicategories and their Boolean-Cartan Restriction SemigroupsAn Alternative Framework for Irreducibility and Primitivity of Nonnegative TensorsOn the Cohomology of Cyclic Associative AlgebrasQuadratic Spaces and Orthogonal Groups over semilocal RingsBraided cogroupoidsOn homological finiteness properties and free inverse monoidsThe Schur--Zassenhaus Theorem for finite skew bracesCohomology rings and $p$-local behavior of even Artin groups


可換代数とクラスター代数とヤンバクスター方程式 - 2026/6/29の論文4本
06/29/2026

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/2026-06-29/

Commutative algebras satisfying univariate identities with vanishing Peirce polynomialInvolutions in the Cayley-Dickson constructionCoordinate projections of $c$-vectors of cluster algebras from the annulusChain conditions on skew braces and solutions of the Yang-Baxter Equation


群と環とBレースとヤンバクスター方程式 - 2026/6/26の論文4本
06/26/2026

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/2026-06-26/

Groups of type $\mathrm{E}_8$ over rings via TKK-algebras and their extremal elementsAnalogues of Gr\"un's lemma and Baer's theorem for skew left bracesMatrix stability and Morita invarianceFree Skew Braces and Free Solutions of the Yang--Baxter Equation


閉包系と拡張と微分方程式と葉層 - 2026/6/25の論文4本
06/25/2026

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/2026-06-25/

Closure Atlases and Local-to-Global Obstructions in Finite Closure SystemsEquivariant Cleft Extensions and Singular EquivalencesAn Algebraic Viewpoint on Linear Differential EquationsOn the Moser trick for Lie subalgebras and foliations


非可換二次曲面と対称群とスキューブレース - 2026/6/24の論文4本
06/24/2026

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/2026-06-24/

Irreducible noncommutative quadricsThe endomorphism tower of a finite symmetric groupOn Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative GroupAlmost Symmetric Linear Arc Monadic Datalog and Transitive Tournaments


代数構造と演算子と表現論 - 2026/6/23の論文15本
06/23/2026

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/2026-06-23/

Transposed Poisson structure on the Witt-type algebra $\mathcal{W}(a,-1)$: Derivations, Automorphisms, and Rota--Baxter operatorsVector Determinant in the ARE Framework: From Scalar to Vector-ValuedOrder-to-ring ideals via submultiplicative lattice seminorms in lattice-ordered algebrasTame Automorphisms of Free Nilpotent Lie Algebras of Countably Infinite RankLie subalgebras of vector fields on curvesA bicategorical perspective on Steinberg algebrasLocal Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindexStandard Polynomials for Principal Subalgebras $\mathbb{K}Q_{\geq 1}$ of Path AlgebrasExplicit Formula for Inverse and Determinant in Geometric Algebras over Odd-dimensional Vector S...


リー代数と行列と代数系 - 2026/6/19の論文7本
06/19/2026

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/2026-06-19/

Nijenhuis Lie $2$-algebrasExplicit descriptions of the subfields $(NL)^{pi}$ and $(NL)^{pi}(NL)^{sep}$ of $NL$ and new explicit criteria for $NL = (NL)^{pi}(NL)^{sep}$Product of two matrices similar to companion matrices over sufficiently large fieldsOrder embeddings of real matrix domainsFree subgroups in weighted Leavitt Path AlgebrasFunctional completeness and primitive positive decomposition of relations on finite domainsEigenvector Varieties


Rota-Baxter代数とEngel語とSchur環 - 2026/6/18の論文3本
06/18/2026

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/2026-06-18/

On restricted Rota-Baxter Lie algebras of arbitrary weightSurjectivity of Engel Words on $\mathrm{SL}_2(\mathcal{O})$ and $\mathrm{PSL}_2(\mathcal{O}_2)$Schur rings over cyclic groups having Almost Commutative Terwilliger algebras


次数付き代数とリー代数とラドン変換 - 2026/6/17の論文5本
06/17/2026

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/2026-06-17/

Finite basis property for finite graded algebrasA note on the image of graded multilinear polynomials on upper triangular matricesNon-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebrasThe iterated geometric Green's formulaRadon transform for $GL_n(\mathbb{F}_q)$


代数構造と表現とジョルダン代数 - 2026/6/16の論文11本
06/16/2026

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/2026-06-16/

The graded Grothendieck group ${K}_0^{\mathrm{gr}}$ is full for weighted Leavitt path algebrasOn the structure of finite Novikov conformal algebrasA Generalization of UQ RingsJordan rigidity of full matrix algebrasSimple derivations and isotropy on Danielewski-type algebrasA unimodular bijection between harmonic vectors of 2-isomorphic graphsOn reduction and gluing technique of simple-minded systems over self-injective algebrasA construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic caseRight representations of Novikov algebrasOn the Lyapunov equation with the state matrix in companion formDeterminant majorization for hyperbolic polynomials on Euclidean Jordan algebr