Advertise on podcast: プレプリどんどん: math.RA

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

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

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

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

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

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

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-theoretic Yang-Baxter equationRota-Baxter operators and factorization of Lie affgebrasDiagonalization of skew-Hermitian dual quaternion matrices and $\phi$-Hermitian dual quaternion matricesLocal coherence and recollement of abelian categoriesA smooth non-compactly generated categoryA Countable Three-Generated Orthomodular Lattice with No $\sigma$-Complete EmbeddingDigraph Laplacian spectra: Counterexamples to the 2005 polygon conjectureStrong nonfinite basability of the three-element flat semiring $S_7$Linear maps preserving the matrix discriminant. An enhanced approachHereditary NC Polynomials & Positivity Domains$n$-Valued Analogue of Abel's TheoremThe geometric classification of Novikov-Poisson and Gelfand-Dorfman algebrasMultiplicity-One Structure in Graded Zero-Divisor GraphsUpper Bounds on the Comon Rank Gap of Real Symmetric Third-Order TensorsA separating identity for matrix semirings over $S_7$The strong nonfinite basis property of $S_7$

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

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

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

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

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

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

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

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