代数構造と量子代数と特殊な環 - 2026/10/30の論文29本

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 programs Nijenhuis Lie $n$-algebras Finite algebras whose equational probability spectrum contains a big gap Ternary analogs of dendriform algebras and quadri-algebras On the cohomological dimension of Henselian valued fields Introduction to Separable Simplicial Algebras A lattice order on the complex field Maximal regular subsemigroups containing the group of units of transformation semigroups that preserve a uniform equivalence relation with two classes Eternal Total Positivity and Matrix-Dependent Hadamard Thresholds NS-Leibniz bialgebras, the Yang--Baxter equation and relative Rota--Baxter operators Averaging Zinbiel bialgebras Tensor products of Leibniz bimodules and Grothendieck rings -- an addendum Local and 2-local derivations of Block Lie algebras B(q) A note on the ideal lattice of a weighted Leavitt path algebra A counterexample to the pure semisimplicity conjecture Local Derivations and Local Automorphisms of Arbitrary Finite-Dimensional Nilpotent Lie and Leibniz Algebras Characteristic identities for orthogonal quantum matrices: examples Width and amplitude inequalities over DG-rings On End-Semidualizing Modules On a Conjecture of Fiedorowicz Discretisation in algebraic $K$-theory of independent ample groupoids and their Steinberg algebras Composition factors and finite representation type Number of ends of conjugacy diagrams On strongly FP-injective accessibility and weakly FP-projective periodicity Every group is the automorphism group of a set-theoretic solution of the Yang--Baxter equation Graded Automorphism of Multiparameter Quantum Matrix Algebra Syzygy-Quiver Formulas and Finitistic Dimensions of Special Biserial Algebras Standardly stratified structures from tilting modules A Dolbeault complex for the contact quantised flag manifolds of type $\mathrm{C}_{2}$ and $\mathrm{D}_{4}$