環と代数とモジュールの構造解析 - 2026/5/12の論文22本

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/2026-05-12/Finite products in commutative monoids: well-definition, recursion on finite subsets, and why the empty product is $1$Residue Constraints in the Rank-Three Lifting Problem for Projective-Plane Incidence MatricesUnitary-Invariant Decomposition of Reducible Total Least Squares Core ProblemsA characterization of monoid graded semihereditary ringsAdditive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebrasLocalization, Local--Global Transfer, and Hull Theory for $C4^{\ast}$-Modules over Commutative RingsExact-Sequence Stability and Ambient Realizations for $C4^{\ast}$-ModulesOn a $q$-Skew Amitsur's TheoremThe structure of $\lim^1$-groupsUndecidability problems for semifree DG algebrasStudy of Rota-Baxter Operators in Matrix $C^*$-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode ControlFactor systems and geometric structures of strongly graded ringsA Gr\"obner--Shirshov Basis for Nilpotent Rota--Baxter Algebras of Weight ZeroIntegral elements of Okubo algebra and the E8-latticeCommutators of finite multiplicative orderVarieties of bicommutative algebras with identity of degree threeThe comaximal graph of a finite-dimensional Lie algebraA Cryptosystem Using Cluster AlgebrasNon-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$A categorical description of simple Beth companionsIntegral Shell Polytopes of Composition AlgebrasHidden Structure of Jack Littlewood-Richardson Coefficients