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プレプリどんどん: math.RA

A Mathematics and Science podcast

#57 in Mathematics · 🇯🇵

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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)

Newest episodes

代数と次元と局所構造 - 2026/11/11の論文11本

Nov 11, 2026 20 min

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/2026-11-11/ Coordinatizing coalition latticesCommutators in free skew fieldsRank Additivity and Comon's Conjecture for Real Hankel TensorsGelfand-Kirillov dimension of constants of algebraic $q$-skew derivationsFrom convolution pi-algebras to Rota-Baxter Hopf pi-algebrasAutomatic Continuity for projective clone homomorphismsRelative Derived Torsion in Categories of Reduced Modules: Comparison and Non-Noetherian ExamplesEssential $p$-dimension of simple algebras and noncrossed products of prime exponentGorenstein dimensions for stable Auslander algebras of Nakayama algebrasThe \v{C}ech-Stone compactification of the reals and coz-included sublocalesNoetherian connected braided Hopf algebras are affine

リー代数とManinトリプルと量子クラスター代数 - 2026/11/10の論文22本

Nov 10, 2026 38 min

arXiv math.RAの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-11-10/ Topological Lifting of Mundici Equivalence and Di Nola--Lettieri EquivalenceRigid Lie Algebras from Semisimple Lie Algebras and Their Symplectic ModulesLinear structure graphs associated with commuting graphs of Lie algebrasA seven-element interval of power-semiring varietiesA unified approach to Manin triples of Lie algebras and the corresponding bialgebra structuresInverse problem in difference Galois theoryLinear bound for commuting matrix algebra IILift Height and the Structure of Classification FailureDivision ring extensions and the realization of Coxeter diagrams $I_2(n)$Becker's Conjecture on Compositions of Higher Degree Diagonal FormsNonassociative gradings on infinite-dimensional triangular algebrasOn semigroups of order-decreasing partial isometries: presentations and ranks of certain idealsA Note on Similarity Classes From Atomic Factorizations in DomainsDualities and completions of median algebras and semilattices: a universal-algebraic approachLie algebras graded by the root system $AG_2$On the structural aspects of Convex Subhyperlattices under different ordersStatistics of centralizers of integer matricesFrobenius and ozone automorphism groups of root of unity quantum cluster algebrasInvariant operations on vector fields on the line are Lie polynomialsFrom Frobenius seeds to self-orthogonal modules over symmetric algebrasOn definable closure in closed $H$-fieldsOn $\mathrm{HH}^1$ of blocks of finite simple group algebras

代数と幾何学と変形 - 2026/11/9の論文11本

Nov 9, 2026 19 min

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/2026-11-09/ The center of an associative crossed moduleInclusions and intersections of products of verbally prime $T$-idealsWeighted \texorpdfstring{$\mathcal{O}$}-operators on pre-Leibniz algebras and post-pre-Leibniz structuresAn extension of the notion of algebraic entropyTopological Mundici Adjunction and Its ApplicationsDivision ring extensions and a counterexample to the pure semisimplicity conjectureDeformations and Local Geometry of Lie Triple System MorphismsThe quaternionic reflection groups with imprimitive complexifications and the finite subgroups of GL(2,C)Centres and semisimple deformations of contraction algebrasIsomorphic classification of the coordinate algebras of the two-parameter braided quantum groups $\mathrm{SL}_2$Two-step nilpotent varieties as categories of modules over a square ring

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All episodes

代数と次元と局所構造 - 2026/11/11の論文11本

Nov 11, 2026 20 min

リー代数とManinトリプルと量子クラスター代数 - 2026/11/10の論文22本

Nov 10, 2026 38 min

代数と幾何学と変形 - 2026/11/9の論文11本

Nov 9, 2026 19 min

構造グラフと代数とモジュールと指数的成長 - 2026/11/6の論文8本

Nov 6, 2026 15 min

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/2026-11-06/ On the Connected Components of Structure Graphs of Associative RingsLocal and 2-Local Derivations of Finite-Dimensional Zinbiel AlgebrasLinear bounds and sharp exponential growth for commuting matrix algebraSimple Modules over Leavitt Path Algebras Generated by Indicator Functions on PathsArithmetic Kac Theory for Ramified SpeciesTilting bundles and modifying modules in relative dimension oneOpen Problems on the Null Space and Image Space of the Adjacency MatrixA Note on the OpenAI Construction of Counterexamples to the Kaplansky Direct-Finiteness Conjecture

表現とコホモロジーと環 - 2026/11/5の論文7本

Nov 5, 2026 12 min

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/2026-11-05/ Homology and Topology of Partially Ordered FieldsIdentities of Representation of Lie subalgebras of the first Weyl algebraHigh-Degree Restricted Cohomology for $K(3;1)^{(1)}$ in Characteristics Five and SevenOn Jordan nilpotency of index n in group ringsA topological Mundici representation theoremRepresentation embeddings and the third Brauer--Thrall conjectureThe group of strong automorphisms of the differential field of transseries

代数系とグラフとテンソルギャップの探求 - 2026/11/4の論文12本

Nov 4, 2026 21 min

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/2026-11-04/ The finite basis problem for varieties modulo x^3=0Rings in which every semiprime left ideal is an intersection of prime left idealsBinomial Artin-Schelter Regular Algebras and Twisted Monoid AlgebrasHochschild cohomology of Temperley--Lieb algebras: a Kauffman diagram perspectiveRemarks on the Farthing--Muhly--Yeend inverse semigroup of a finitely aligned higher-rank graphUpper Bounds on the Strassen CP Rank Gap and Symmetric Rank Gap of Third-Order TensorsResolvent comparison for Hermitian block matrices and Kelmans transformationsHopf algebra polynomial identities in the Sweedler algebraAlgorithmic Non-dimensionalisation of Polynomial Dynamical Systems with CRNNondimSingular solutions from simple Euclidean Jordan algebrasKaplansky's conjectures fail for torsion-free hyperbolic groups in positive characteristicA Relative Telescope-Type Conjecture: Support and Generation in Half-Bounded Derived Categories

代数構造と量子系 - 2026/11/3の論文22本

Nov 3, 2026 38 min

arXiv math.RAの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-11-03/ Primary components and large prime factors of cyclotomic valuesComplete Bernstein functions and real powers of P-matricesClassification of three-dimensional Leibniz dialgebras with two-dimensional annihilatorOn the lower bound of the refined Bessis--Moussa--Villani conjecture: proof of the cases S_{6,3} and S_{7,3} for 3x3 matricesIsomorphism classes and geometric classification of three-dimensional Jordan algebras and the length functionQuantum Generalized Cluster Algebras from Scattering Diagrams: Positivity and MutationLocal superderivations of Block Lie superalgebras $S(q)$Partial coactions of Hopf algebras on nonunital algebras and categoriesVarieties of associative algebras with slow central codimension growthThe Yangian associated with the binary treeIdempotent Ultrafilters and Closed Images of Complete SemilatticesCounterexamples to a Cubic Nondegeneracy ConjectureExtensions at Nonzero p-Characters for Cartan-Type Lie AlgebrasCompleting the classification of Hopf superalgebras of dimension up to 10Unbiased Low-Rank Approximation for Repeated Matrix-Vector Multiplication: Stability and Optimal SamplingAuslander-type grade conditions and subcategories related to syzygy modulesRaFH and CRaFH superalgebras: Frobenius forms, representation theory and respectabilityOn the representability of actions of algebras with several bilinear multiplicationsHow the eigenvalue region of standardized Laplacians leaves the 2005 polygonPositive integral points on Mordell-Schinzel surfacesHammock coordinates for silting subcategories of derived-discrete algebrasCentralizers of maps as automorphism groups of Yang--Baxter solutions

量子とトロピカルと代数と行列 - 2026/11/2の論文18本

Nov 2, 2026 32 min

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/2026-11-02/ Weighted flip graphs from cyclic quantum mutations: pentagon inequalities and exponential separationsThe generalized core-EP inverse of operator matrices with generalized Schur complementsMoore-Postnikov supcation of simplicial sets and applications in simplicial algebrasDescent and Decomposability of Algebras of Exponent 2 in characteristic 2Extended $\mathcal{O}$-operators on Lie-Yamaguti AlgebrasKupershmidt--Nijenhuis structures on pre-Leibniz algebrasLinear Rank Nonincreasing and Preserving Maps between Matrix SpacesAlgebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generatedAnti-quadratic nearly associative algebrasQuasi-projective dimensions over homological ring epimorphismsP-generalized determinant over quaternions and its applicationsA reciprocal Schoenberg inequality and its extensionsComposition factor algebras and finite representation typeTropicalization and Polyhedral Completions of Weyl AlgebrasExtended Tropical Characteristic Fibers and Slopes of Binomial D-ModulesDerived tame monomial algebrasCoring morphisms presenting nonaffine noncommutative fibre bundlesSpectra of stochastic matrices with a Toeplitz interior

代数構造と量子代数と特殊な環 - 2026/10/30の論文29本

Oct 30, 2026 58 min

arXiv math.RAの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-30/ Explicit matrix hitting points for noncommutative algebraic branching programsNijenhuis Lie $n$-algebrasFinite algebras whose equational probability spectrum contains a big gapTernary analogs of dendriform algebras and quadri-algebrasOn the cohomological dimension of Henselian valued fieldsIntroduction to Separable Simplicial AlgebrasA lattice order on the complex fieldMaximal regular subsemigroups containing the group of units of transformation semigroups that preserve a uniform equivalence relation with two classesEternal Total Positivity and Matrix-Dependent Hadamard ThresholdsNS-Leibniz bialgebras, the Yang--Baxter equation and relative Rota--Baxter operatorsAveraging Zinbiel bialgebrasTensor products of Leibniz bimodules and Grothendieck rings -- an addendumLocal and 2-local derivations of Block Lie algebras B(q)A note on the ideal lattice of a weighted Leavitt path algebraA counterexample to the pure semisimplicity conjectureLocal Derivations and Local Automorphisms of Arbitrary Finite-Dimensional Nilpotent Lie and Leibniz AlgebrasCharacteristic identities for orthogonal quantum matrices: examplesWidth and amplitude inequalities over DG-ringsOn End-Semidualizing ModulesOn a Conjecture of FiedorowiczDiscretisation in algebraic $K$-theory of independent ample groupoids and their Steinberg algebrasComposition factors and finite representation typeNumber of ends of conjugacy diagramsOn strongly FP-injective accessibility and weakly FP-projective periodicityEvery group is the automorphism group of a set-theoretic solution of the Yang--Baxter equationGraded Automorphism of Multiparameter Quantum Matrix AlgebraSyzygy-Quiver Formulas and Finitistic Dimensions of Special Biserial AlgebrasStandardly stratified structures from tilting modulesA Dolbeault complex for the contact quantised flag manifolds of type $\mathrm{C}_{2}$ and $\mathrm{D}_{4}$

葉の変形と融合環とグラフの相関 - 2026/10/28の論文13本

Oct 28, 2026 26 min

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/2026-10-28/ Finite Non-Commutative Centrally Essential Rings of Minimal OrderOn module endomorphisms annihilated by residually square-free polynomials over Artinian local PIRsThe Kothe Radical in Novikov AlgebrasOn \delta-derivations of \mathfrak{saff}_{n+1}Finite Matrix Rings of Even Size Are Determined by Their Commuting GraphsThe existence of the compatible lattice order on the complex field $\mathbb{C}$Classification of vanishing fusion rings of rank fourRigidity and Affine Deformations of Foliations on Nilpotent and Solvable Contact Lie AlgebrasOn the frieze patterns by Conway and CoxeterDegree-one cohomology of metacyclic $2$-groups: a low-bit dichotomyYoung's lattice, invariant ideals, and weak identitiesGKS Fully Homomorphic Encryption: Security AnalysisRank functions, $\mathbb{Z}_p$-extensions and class numbers

代数と群とクィバーと環 - 2026/10/27の論文27本

Oct 27, 2026 54 min

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/2026-10-27/ Congruence lattices of $2$-valued unary algebrasA note on Rota-Baxter affgebrasOmni-representations of Leibniz conformal algebrasWeakly Unitary Zeon MatricesReconstruction of the Torsion Free Nilpotent Group from Its Division Ring of the Rational Group AlgebraThe silp--spli equality for group ringsNew results on nil ringsClassification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive CharacteristicIdempotent radicals and factorization systemsAn eight-dimensional nilpotent Leibniz algebra without outer derivationsPoisson closures and Poisson $A$-algebrasFinite determinacy and rigidity of quiver potentials2-generation of Chevalley Lie algebras over finite fieldsSkew fields of non-commutative meromorphic functions affiliated to finite operator algebrasThe generalized Dixmier conjecture and the two-dimensional Jacobian conjectureNon-Vanishing Determinant Space-Time Codes from Abelian Crossed Product AlgebrasA nonstandard selfinjective algebra of Euclidean typeFrom Quaternions to Pentarnions II: quadratic differential equationsA Five-Dimensional Nonassociative Algebra: elliptic integrability and bracketing-dependent dynamicsAutomatic cocommutativity for the quantum-group comonadThe ascending chain condition for radical well-mixed difference idealsHomological and homotopical epimorphisms in monoidal $\infty$-categoriesResolution quivers and the QF-1 property of higher Auslander Nakayama algebrasCross work induced by transformations on the symmetric group and related transformation semigroupsOn Tam's star-shapedness conjecture for numerical ranges of compact adjoint orbitsProofs of strong forms of the Bovdi--Geche universality conjecture and a complex analogueThe counts of parity-odd vs even late-growing permutations in the group $\mathbb{S}_{2p-1}$ differ by $(-1)^p$

Zinbielとbracesと有限体 - 2026/10/26の論文6本

Oct 26, 2026 13 min

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/2026-10-26/ Finite stabilization, socle extensions, and Faith's conjectureBiderivations of Null-Filiform and Filiform Zinbiel AlgebrasCofinite integral braces and crystallographic groupsOptimality of finite field dimension expandersRestricted isometries in finite-dimensional $\ell^p$-spacesLinear transformations of tropical matrices preserving individual values of the cyclicity index

Lie超代数とJordan代数とペンタニオン - 2026/10/23の論文8本

Oct 23, 2026 16 min

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/2026-10-23/ Simple finite-dimensional binary Lie superalgebrasClassification of compatible left-symmetric conformal algebras on solvable Lie conformal algebras of rank twoA parametrization of nonassociative Petit algebras $K[t;\sigma]/K[t:\sigma](t^m-a)$ up to equivalenceDegenerations of Jordan algebrasFrom Quaternions to Pentarnions I: Algebra, geometry, and a spin modelBipartite solutions of the set-theoretic Yang--Baxer equationSum-rank analogues of Reed--Muller codes over Abelian Galois extensionsProperties of theories whose algebras are free

八元数とモウフループと非可換シーケンス代数 - 2026/10/22の論文11本

Oct 22, 2026 22 min

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/2026-10-22/ Algebras with bounded multiplicities of the central cocharactersA sharp weighted commutator inequality for rank-one matricesContinuous spectrum-shrinking maps between finite-dimensional power-associative algebrasUnitary similarity for dual complex matrices and dual quaternion matricesClosedness of bounded strength and partition rank lociThe Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ SymmetriesRamified convolution and monodromy bases for symmetrizable Kac--Moody algebrasFrobenius forms and semisimplicity of cyclotomic quiver Hecke superalgebrasExtending Doi--Takeuchi correspondence to bimodules and noncommutative coversOn unit groups of purely infinite ringsMultiplying matrices via polynomials: exposition and barriers

量子共役とテンソル圏とセミ環 - 2026/10/21の論文5本

Oct 21, 2026 10 min

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/2026-10-21/ On the square of an isosimple moduleThe algebraic and geometric classification of post-$3$-Lie algebrasThe Finite Basis Problem for Multiplicatively Idempotent SemiringsQuantum polynomial-time conjugacy in metabelian groupsLie algebras in symmetric tensor categories

導分とリー代数とテンソルと超対称性 - 2026/10/20の論文19本

Oct 20, 2026 32 min

arXiv math.RAの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-20/ Derivations of the idealization of the incidence module over the finitary incidence algebraSpecial identities of nonsymmetric bicommutative operations in associative algebra with an operator$\frac{1}{2}$ derivations and biderivations of 3-dimensional nilpotent Lie-Yamaguti algebrasA characterization of generalized derivations and biderivations on some simple algebrasMetric preservation under approximate algebraic lawsRank and Border Rank Additivity of Complex Tensors with a Hankel SummandClassification of Hom--Lie structures on finite-dimensional simple Lie algebrasThe four-dimensional Sklyanin algebras revisited2-Local Derivations on Conformal Galilei Lie Algebras and Their Central ExtensionsClassification of all non-split central extensions of naturally graded 2-filiform non-Lie Leibniz algebrasDual Reflection Groups from Solutions to the Yang--Baxter EquationA Non-linearizable Action of $S_3$ on Free Metabelian Lie and Associative AlgebrasThe two-step spectral locus of the octonionic structure operatorWeighted Power Means on Upper Triangular Matrix GroupsAll totally real abelian number fields of class number one are EuclideanDerived equivalence classification of twisted and generalized multifold extensions of affine typeSuperschemes and supermanifolds with free $\mathbb{A}^{0|n}$-actionPrincipal bundles in supersymmetryNew Maximum Hermitian $d$-Codes and New Invariants from Skew Polynomial Rings

超代数と準微分とポアソン構造 - 2026/10/19の論文9本

Oct 19, 2026 18 min

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/2026-10-19/ A prime isoartinian ring that is not noetherianGeneralized Mock-Poisson Algebras: Constructions and Structural PropertiesDerivations and quasi-derivations of Block Lie superalgebras $S(q)$Point Modules of Non-Connected Graded AlgebrasOn the center of the Clifford AlgebraThe algebraic and geometric classification of semi-alternative superalgebrasQuasi-derivations of the (extended) Schr\"odinger--Witt algebrasThe semiring of spectral duality skeletons: cancellation, characters and factorizationTransposed Poisson structures in graded and algebroid geometry

シンプレクティック行列とコズカル双対性と導来圏 - 2026/10/16の論文17本

Oct 16, 2026 34 min

arXiv math.RAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-16/ Low-rank perturbation of symplectic matricesCharacterizations in terms of Generalized InversesTwo Short Proofs of the $A^A$ TheoremZhang twists for semigroups and groupoids, with applications to Steinberg algebrasAnti-successors and anti-replicators, Manin products and Koszul dualityStar-Ordered Rotor Loops in Clifford AlgebrasA proof of the interlacing conjecture for the singular values of Sylvester-Kac matricesAutomorphisms of Free Metabelian Lie Algebras, IIIdeals in Enveloping Algebras of Loop AlgebrasAn infinite completely normal basis theoremEvolution algebras: a survey of results and a list of open problemsA Krause-type recollement for Q-shaped derived categoriesAutomorphisms of triality groups over local ringsGeneralized Cluster Algebra Homomorphisms Induced by Cluster Tube EmbeddingsModules and operator rings of Reynolds algebrasDirect products of Gorenstein flat modules over coherent ringsDifferential equations as difference-differential equations

Fomin-Kirillovと行列とクアンドル環 - 2026/10/15の論文4本

Oct 15, 2026 8 min

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/2026-10-15/ Invariant factors from products of cyclotomic polynomials, with applicationsOn the Fomin-Kirillov algebrasIdentities and isomorphisms of finite graded matrix algebrasThe zero divisor and augmentation conjectures for medial quandle rings

オクボと構造と格子とテンソル - 2026/10/14の論文43本

Oct 14, 2026 1 hr 21 min

arXiv math.RAの新着論文43本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-14/ Classification of $3$-dimensional unital commutative algebrasOkubo algebras and Exceptional Periodicity: tetracode gradings, root-lattice obstructions and Clifford conesEndochain Conditions on Modules and $p$-quasi-Frobenius RingsStandard identities for polynomial vector fieldsActions of central Morita monoidal groupoids, and seven term exact sequences of all typesOn the Real Waring Rank of a Biharmonic FormOrthogonality of Defect Ideals for Jordan HomomorphismsActions in varieties of non-associative algebras: a surveyZero divisors in group algebras of torsion-free groups in odd characteristicGroup gradings, graded identities and central polynomials of algebras with almost polynomial $\delta$-growthA Gordon--Green-type result for Gorenstein-projective modulesSuperdecomposable Complete Path AlgebrasLinear Laurent phenomenon algebras are of finite typeA characterization of central extensions relative to n-nilpotent objectsProper varieties of distributive l-pregroups are periodicUniversal Varieties for Signatures of MembranesSpectra and Support Theory for Wide Subcategories in $n$-Abelian CategoriesAxioms and internal rigidity of spectral duality structuresDouble circulant LCD codes over $\mathbb{F}_2+u\mathbb{F}_2$ and constructions for binary LCD codesThe operad of anti-pre-Lie algebras and its Lie elementsLie Algebras of Locally Finite Derivations over Fields of Positive CharacteristicA noetherian Hopf algebra has bijective antipodeBimodule duality and Artin's problem for skew field extensionsCohen-Macaulay truncated path and Nakayama algebrasHilbert's Nullstellensatz and the real Nullstellensatz for modules and sheavesSemiprime and real submodules of arbitrary modules are intersections of prime and real prime submodulesOn a derived equivalence classification of weakly symmetric algebras of Euclidean typeA categorical approach to the set-theore...

代数構造と不変量理論 - 2026/10/12の論文15本

Oct 12, 2026 31 min

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/2026-10-12/ Operator Algebras and Their ApplicationsA unified approach to the definition of anti-algebrasQuasi-derivations of Block Lie algebras $\mathcal{B}(q)$Non-Existence of Abelian KS-Algebras in $M_n(\mathbb{C})$ for $n \geq 3$Complex slices, inverses, and deformations of a three-dimensional real algebraProducts of Boolean Clones up to Minion HomomorphismsThe finite basis problem for varieties generated by all semirings of a fixed orderOn the non-existence of a left-symmetric structure on osp(1|2) in any characteristicHomogeneous symmetric trace-positive sextics with vanishing abelianization are sums of Hermitian squares and commutatorsThe six-element additively idempotent semiring $B_2^1$ is inherently nonfinitely basedGlobal obstruction property and its applicationsProjective Differential Moment Invariants from the Viewpoint of Classical Invariant TheoryA 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real formThe $E_6$ normal forms: semisimple deformations, geometry, DT invariants, and the $E_{6,\infty}$ orderHsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature

Conformal代数と$n$-Lieと指数 - 2026/10/9の論文10本

Oct 9, 2026 19 min

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/2026-10-09/ A Proof of the Dittert Conjecture via Boundary RigidityWells exact sequences for $n$-Lie algebrasLower and Upper Lie Nilpotency Indices of Modular Group AlgebrasAffine Schur--Weyl theory for loop Semigroups and polynomial representationsStructure theory of finite solvable Lie conformal algebrasA Counterexample to Left-Right Symmetry for Diagonal Auslander-RegularityBiHom-Poisson conformal superalgebras arising from related algebraic structuresThe rank of $3\times 3$ matrix multiplication over $\mathbb{F}_2$ is 23An explicit tame factorization of the four-variable Anick automorphismSharp commutator bounds on complex simple Lie algebras: the B\"ottcher--Wenzel inequality and the comass of the Cartan $3$-form

合成代数と超代数、クィバーと代数分類 - 2026/10/8の論文7本

Oct 8, 2026 13 min

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/2026-10-08/ Symmetry and Invariant Theory of Quadratic Dynamics over Eight-Dimensional Composition AlgebrasThe algebraic classification of five-dimensional nilpotent right alternative algebrasFrom bosonized $\mathfrak{osp}(1|2)$ to liftings of the super Jordan planeOn computing deformations of contraction algebras of type E$W$-algebras with involution: polynomial identities and asymptotic growthRamified Quivers with Potentials, Monodromy Characters, and Cluster Bases IHigher Fomin-Kirillov algebras are infinite-dimensional

冪零とポアソン空間とモジュール - 2026/10/7の論文8本

Oct 7, 2026 16 min

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/2026-10-07/ Nilpotent Product Probability of Finite RingsDiagonalizable modular derivations on bigraded Poisson spaces and Koszul dualityExtensions of Restricted Simple Modules for Restricted Lie Algebras of Cartan TypeGroup-ring methods for Alexander quandle ringsSparse Moore-local realisations of binary irreducible polynomials on near-square lattice regionsMoln\'ar's Theorem for split $C^*$-by-nilpotent algebrasNew integer sequence OEIS A392714 counts Wronskians: fast evaluation via late-growing permutationsEffective computation of Moore-Penrose inverses over fields of rational functions by specializations

八元環と四元環と形式行列とニル環 - 2026/10/6の論文17本

Oct 6, 2026 32 min

arXiv math.RAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-06/ Generalizing the $A^A$ Problem for Finite Ordered SetsFinite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$Characterization of the centrally finite Amitsur-Small division ringsGeneralized Commutator on Octonion AlgebraFormal Matrix Rings with the Involution PropertyHypergraphs associated to skew polynomial algebras and surface triangulationsA simple construction of a simple nil ringGenus of quaternion algebras over formally real fieldsBaer-Type Ring Characterizations of Steinberg Algebras, with Applications to Leavitt Path AlgebrasGraded bimodules over split group algebras: stabilizers and Peirce decompositionsNon-dyadic Laver algebrasOn Reversible Rings, Their Generalization and Quasi-Idempotent ElementsOn the asymptotic Makar-Limanov rank conjectureSuslin-Rao Codes : the bridge between pure and appliedCartan inverse semigroups and twisted Steinberg algebrasAn elementary proof of the Artin--Springer theorem for generalized quadratic forms over quaternion algebrasSymmetric Grassmann Formulas: Monotone Dimension-Defect Hierarchies

冪零性と代数と環の構造 - 2026/10/5の論文5本

Oct 5, 2026 10 min

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/2026-10-05/ Prime-Power Multiplicative Modular Monoid MorphismsNilpotency and nil subvarieties of binary Zinbiel algebras(Super)nilpotency and solvability in algebras with zeroInvariant Rings of Adjacent-Quadratic Triangular DerivationsSigned seeds and G-gradings on cluster algebras

Lie代数とオペラドと非可換多項式 - 2026/10/2の論文16本

Oct 2, 2026 33 min

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

Oct 1, 2026 24 min

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

Sep 30, 2026 27 min

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

Lie代数と除環と融合圏と大域次元 - 2026/9/29の論文25本

Sep 29, 2026 52 min

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

不変量と図式モノイドと正値性と華の恒等式 - 2026/9/28の論文8本

Sep 28, 2026 18 min

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

行列と双代数とリー代数とクアンドル - 2026/9/25の論文7本

Sep 25, 2026 15 min

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

リー代数と双代数とクィバーと行列空間 - 2026/9/24の論文13本

Sep 24, 2026 26 min

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

行列と多項式恒等式と余加群とルート系 - 2026/9/23の論文12本

Sep 23, 2026 25 min

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

Sep 22, 2026 40 min

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

Sep 21, 2026 13 min

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

Sep 18, 2026 23 min

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

Sep 17, 2026 9 min

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

Sep 16, 2026 9 min

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

Sep 15, 2026 41 min

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

Sep 14, 2026 5 min

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

Sep 11, 2026 5 min

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

Sep 10, 2026 35 min

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 PolynomialsA counterexample to Huang's weak majorization conjectureLifting strongly graded rings via overgroupsA note on generalized distributive sets of a finite Dickson nearfieldWeak central polynomials for algebras of multiplications of simple algebrasAmenability of Lie, Group and Hopf algebrasA counterexample to the periodicity conjecture for finite-dimensional algebrasA Counterexample to a Conjecture of Liu and Qian and a Refined Inverse Theorem for Restricted Sumsets in $\mathbb{Z}_p$Finiteness and growth of brick chain filtrationsHyperbolic distance matrix completion

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

Sep 9, 2026 55 min

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 RealizationsA counterexample to K\"othe's conjecture and a question of RowenA polynomial criterion for Jordan elements in a free associative algebraA vanishing criterion for Lie elements in a free Novikov algebraDirect-product rigidity and factor reconstruc- tion for monoids with zeroMinor-Order Exponent Profiles of Oscillatory MatricesSlice regular functions on alternative *-algebras : prescribing zeroes and values on discrete sets and related extension problemsA new characterization of arithmetical categories and Pixley's theoremExactness of the 2-categories of abelian and triangulated categoriesOn the Matlis Reflexive ModulesA two-categorical Snake Lemma(Semi-)Models for Slice Regular Functions on Real Division AlgebrasA Solution to Iima--Yoshino Problem 2.3An overlooked weakening of perfect normality: Perfect regularity in spaces and localesChain rule symmetry for singular SPDEs from multi-indices to decorated treesQuasi-projective dimension and Gorenstein projective dimensionNew Symboli...

代数と表現と構造の解析 - 2026/9/7の論文7本

Sep 7, 2026 12 min

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

Sep 4, 2026 14 min

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

Sep 3, 2026 5 min

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

Sep 2, 2026 26 min

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 extended Rota-Baxter algebrasGlobal representations of algebras with a near-unanimity termDeformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series RingsFrom Common-Slot Chains to Heisenberg Central Products over Global FieldsOn Braided Differential Calculi and Quantum G-structuresDiagrammatic Okada monoid and cellularity of the Okada algebraQuantum Hopf rigidity in symmetric monoidal categories

代数構造と行列と圏論の解析 - 2026/9/1の論文27本

Sep 1, 2026 45 min

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-order differential projective invariantsOn Completeness of $n$-ary Hom-Nambu and Hom-Lie SuperalgebrasLie nilpotency index of skew symmetric elements in group algebras$\sqrt{\Delta}$-Fine RingsIrreducible $\mathbb{Z}_+$-modules over some $\mathbb{Z}_+$-ringsPrime ideals and representations of the bosonization of the super Jordan planeProperties of the $\mathcal V$-Monoid of Weighted Leavitt Path AlgebrasBounded $t$-structures on the category of strongly bounded objectsModel structures on the category of Q-shaped modulesTriangulated polygons and Y-frieze patternsPoisson bialgebras by deformations-to-quasiclassical limitsTransfer of Wakamatsu tilting modules along Frobenius extensionsAn Abstract Index Theorem via Rees AlgebrasAuslander correspondence for higher stable dg categories and cluster Morita theoryLinear independence of global monomials on positive spacesOn the equivalence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation

代数とグラフと導関数と加群 - 2026/8/31の論文8本

Aug 31, 2026 15 min

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

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代数と次元と局所構造 - 2026/11/11の論文11本

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Created by: プレプリどんどん編集部
Status: Active
Latest episode: Nov 11, 2026
Episodes: 143
Release period: Daily
Avg. episode length: 16 min
Explicit: No
Language: Japanese

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