プレプリどんどん: math.RA

MATH-RA - 2026/9/25の論文7本

Last Friday at 5:00 AM

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

Last Thursday at 5:00 AM

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 parabolic...

MATH-RA - 2026/9/23の論文12本

Last Wednesday at 5:00 AM

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 comodul...

行列と代数と導出と構造 - 2026/9/22の論文24本

Last Tuesday at 5:00 AM

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 Conf...

代数構造と表現と演算子 - 2026/9/21の論文8本

Last Monday at 5:00 AM

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

09/18/2026

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/2026-09-18/

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...

ファジィ部分空間と代数とリー代数 - 2026/9/17の論文5本

09/17/2026

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/2026-09-17/

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

09/16/2026

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/2026-09-16/

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

09/15/2026

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 Li...

環とリー代数とブラテリ系 - 2026/9/14の論文3本

09/14/2026

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/2026-09-14/

Notes on Reversed Products of Two Elements in RingsOn the growth of Lie algebras and Jordan algebrasUniqueness of Rank-Metric Completions of Bratteli Systems

べき零リー代数とケイリー・ディクソン代数とリービット路代数 - 2026/9/11の論文3本

09/11/2026

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/2026-09-11/

Invariants of Nilpotent Lie Algebras via Geometry and Algebra with a Focus on ComputationQuasilinear multiplication in the real Cayley--Dickson towerGraded classification of Leavitt path algebras in terms of strong shift equivalence

代数系と行列と環とLie代数 - 2026/9/10の論文20本

09/10/2026

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/2026-09-10/

A Simple Way of Getting Large Examples of Osborn LoopsA Truncated Singular-Value Bound for Spectral Variation of Normal MatricesOrthogonal completion of algebraic systems IIA quaternionic construction behind $841$-point kissing arrangement in ${\mathbb R}^{12}$A note on idempotents in quandle ringsLocal derivations is a Lie algebraHomomorphisms and subalgebras of free convex semilatticesA nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit varietyLinear Preservers of Infinitely Divisible MatricesClassification of Nijenhuis operators on three-dimensional multiplicative simple Bihom-Lie algebrasDeriving Newton's Canonical Forms of Cubic Curves via the Center of Poly...

Rota-Baxter演算子と代数構造とコホモロジー - 2026/9/9の論文32本

09/09/2026

arXiv math.RAの新着論文32本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-09/

Extremal Rota-Baxter operators on matrix algebrasFinite-Sample Rigidity for Left-Translated Similarity Orbits and Off-Diagonal Quadratic RealizationsIntegral Dependence over One-Sided Ideals, Part I: Foundations and Classical ApplicationsCohomology theory of Novikov algebras and applicationsGeneric Nullity of Generalized CommutatorsFiltered deformations of three-variable polynomial algebras$\delta$-Mock-Novikov Algebras: Structural Theory, Operad and Poisson-Type ConstructionsA $3\times 3$ counterexample to Lin and Wimmer's rank-minimization conjecture associated with Roth's similarity theoremHigher-dimensional generalized quasiordersThe Classification of the Rota-Baxter Operators on Four-dimensional Grassmann AlgebraThree-Dimensional Geometry in Exceptional AlgebraThe Pozhidaev and Cantarini--Kac Constructions of Simple $n$-Lie Algebras: Distinctions and Realiz...

代数と表現と構造の解析 - 2026/9/7の論文7本

09/07/2026

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/2026-09-07/

Factorization of central polynomials over division algebrasLie Ideals and Lie Derivations of the Algebraic Toeplitz AlgebraThe ozone group of $U_q^+(B_2)$Extending Structures for $n$-Lie AlgebrasExplicit Super-Linear Algebra over K[{\theta}1, {\theta}2]: A General Berezinian Correction Formula and Multiplicativity Theorem for Arbitrary Block SizeUniversality in the algebra and topology of cographsRepresentation Redundancy and Structural Complexity in Finite-Field Inversion

代数構造と圏論と表現論 - 2026/9/4の論文8本

09/04/2026

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/2026-09-04/

Isomorphisms of graded semiconnected algebrasConstruction of $n$-cotorsion pairs in some abelian categoriesSingular equivalences of $n$-adjoint type and standard eventually homological isomorphismsBeth companions of finitary essentially algebraic theoriesFourier Analysis and Idempotents in Quandle AlgebrasKoszul Orlik--Solomon Algebras from Non-supersolvable ArrangementsAdditive diameters and covering complexity of irreducible representationsFactor-parity Hall sets and controllability

クリーン環と代数系とリー群 - 2026/9/3の論文3本

09/03/2026

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/2026-09-03/

On Strongly $m$-$\Delta$-clean ringOrthogonal completion of algebraic systemsIntegrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups

環と代数とホモロジーと量子構造 - 2026/9/2の論文15本

09/02/2026

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/2026-09-02/

Integral coefficient rings and homological dimensions of algebrasAn Algebraic Framework for Data Systems: Classification and Optimization of Algebraic Structures for Data Organization and CodingHopkins-Levitzki Type Theorems for Groupoid Graded RingsSingular Cholesky Fibers over Finite FieldsHomological aspects of n-trivial extensions of ringsThe injective envelope of simple modules over Leavitt path algebras I: simple left idealsThe injective envelope of simple modules over Leavitt path algebras II: simples arising from exclusive cyclesPeirce Stability of Null Polynomials and a Sharp Radical Bound for Finite RingsDeformation theory and the controlling $L_{\infty}$-structure of...

代数構造と行列と圏論の解析 - 2026/9/1の論文27本

09/01/2026

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/2026-09-01/

A Two-Dimensional Counterexample to Radical Equality in Primitive Axial AlgebrasType of homomorphisms of complex toriLaws for triangular matricesCorrigendum to "A Characterization of the Unit Group in Z[T x C_2]"Classification of Novikov-Poisson Algebras and Their ApplicationsGraded Identities of the Virasoro AlgebraSpaces of triangularizable matrices (III): Perfect non-quadratically closed fields with characteristic $2$The ozone groups of the algebras $B_q(f)$Degree-shifted derived invariance of derived delooping levelsDeformations and the controlling $L_{\infty}$-structure of extended Rota-Baxter Lie algebrasCongruence-simple multiplicatively idempotent semirings and multiplicative divisibilityPolynomial joint first-ord...

代数とグラフと導関数と加群 - 2026/8/31の論文8本

08/31/2026

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/2026-08-31/

Integral Orders for the Okubo Algebra and Idempotent Geometries of the $E_8$ LatticeCommuting graphs of Okubo algebrasOrthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elementsOrthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagonsOn Locally Finite Derivations in Ore ExtensionsAcyclic and totally acyclic objects in the $Q$-shaped derived categorySelf-Orthogonal $\tau$-Tilting Modules and Tilting Modules II: Annihilator SeparationAn algebraic proof of Colombo's difference-power determinant conjecture

代数構造とグラフと行列テンソル - 2026/8/28の論文10本

08/28/2026

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/2026-08-28/

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 nearly disjoint sums of matrix multiplication tensors and their centroids

環と代数とコホモロジー - 2026/8/27の論文3本

08/27/2026

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/2026-08-27/

Hereditary QF-$3^{+}$ ringsCohomology and extensions of Novikov algebras of truncated polynomialsSome results on null ideals of finite rings

ポアソン構造と代数系と二次形式 - 2026/8/26の論文9本

08/26/2026

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/2026-08-26/

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-partitionsThe bracket width for Lie algebras of vector fields is finite

代数構造と行列とコホモロジー - 2026/8/25の論文15本

08/25/2026

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/2026-08-25/

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 the Rings $\mathbb Z/n\mathbb Z$Partial Progress on Stone's Conjecture: $P_0$-Membership of Fully Semimonotone Matrices with Positive DeterminantFundamental Algebras and Varieties with Quadratic Codimension GrowthThree-dimensional si...

代数構造と環とモジュールの解析 - 2026/8/24の論文16本

08/24/2026

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 multiplicativeProducts of Nilpotent and Idempotent Matrices over Finite Local RingsA negative exponent range for Audenaert's complementary McCarthy trace inequalityThe general linear groupoid...

固有値と代数と圏論とフラクタル - 2026/8/21の論文5本

08/21/2026

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/2026-08-21/

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

行列と環と代数の構造と保存写像 - 2026/8/20の論文7本

08/20/2026

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/2026-08-20/

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

行列と環とRota-Baxter代数 - 2026/8/19の論文5本

08/19/2026

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/2026-08-19/

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

代数系と行列とホップ代数と超代数 - 2026/8/18の論文16本

08/18/2026

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 induction and a torsion-theoretic equivalence for relative BiHom-Hopf modulesOn Noetherian pointed Hopf algebrasSymmetry of self-injective dimensions under the Auslander conditionTranspose Symmetry of Injectivity over Commutative SemiringsComaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts an...

行列と代数とホモロジー不変量 - 2026/8/17の論文6本

08/17/2026

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/2026-08-17/

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

代数系と多項式と演算子 - 2026/8/14の論文8本

08/14/2026

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/2026-08-14/

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

四元数分解とフラット半環 - 2026/8/13の論文2本

08/13/2026

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/2026-08-13/

Bivariate quaternionic factorizations and surfaces that decompose into two circlesThe finite basis problem for the flat semirings $S(W)$

環と代数と分解と不変量 - 2026/8/12の論文15本

08/12/2026

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/2026-08-12/

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

08/11/2026

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/2026-08-11/

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

08/10/2026

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/2026-08-10/

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

08/07/2026

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/2026-08-07/

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