オクボと構造と格子とテンソル - 2026/10/14の論文43本

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 algebras Okubo algebras and Exceptional Periodicity: tetracode gradings, root-lattice obstructions and Clifford cones Endochain Conditions on Modules and $p$-quasi-Frobenius Rings Standard identities for polynomial vector fields Actions of central Morita monoidal groupoids, and seven term exact sequences of all types On the Real Waring Rank of a Biharmonic Form Orthogonality of Defect Ideals for Jordan Homomorphisms Actions in varieties of non-associative algebras: a survey Zero divisors in group algebras of torsion-free groups in odd characteristic Group gradings, graded identities and central polynomials of algebras with almost polynomial $\delta$-growth A Gordon--Green-type result for Gorenstein-projective modules Superdecomposable Complete Path Algebras Linear Laurent phenomenon algebras are of finite type A characterization of central extensions relative to n-nilpotent objects Proper varieties of distributive l-pregroups are periodic Universal Varieties for Signatures of Membranes Spectra and Support Theory for Wide Subcategories in $n$-Abelian Categories Axioms and internal rigidity of spectral duality structures Double circulant LCD codes over $\mathbb{F}_2+u\mathbb{F}_2$ and constructions for binary LCD codes The operad of anti-pre-Lie algebras and its Lie elements Lie Algebras of Locally Finite Derivations over Fields of Positive Characteristic A noetherian Hopf algebra has bijective antipode Bimodule duality and Artin's problem for skew field extensions Cohen-Macaulay truncated path and Nakayama algebras Hilbert's Nullstellensatz and the real Nullstellensatz for modules and sheaves Semiprime and real submodules of arbitrary modules are intersections of prime and real prime submodules On a derived equivalence classification of weakly symmetric algebras of Euclidean type A categorical approach to the set-theoretic Yang-Baxter equation Rota-Baxter operators and factorization of Lie affgebras Diagonalization of skew-Hermitian dual quaternion matrices and $\phi$-Hermitian dual quaternion matrices </