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/

1. Finite products in commutative monoids: well-definition, recursion on finite subsets, and why the empty product is $1$
2. Residue Constraints in the Rank-Three Lifting Problem for Projective-Plane Incidence Matrices
3. Unitary-Invariant Decomposition of Reducible Total Least Squares Core Problems
4. A characterization of monoid graded semihereditary rings
5. Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras
6. Localization, Local--Global Transfer, and Hull Theory for $C4^{\ast}$-Modules over Commutative Rings
7. Exact-Sequence Stability and Ambient Realizations for $C4^{\ast}$-Modules
8. On a $q$-Skew Amitsur's Theorem
9. The structure of $\lim^1$-groups
10. Undecidability problems for semifree DG algebras
11. Study of Rota-Baxter Operators in Matrix $C^*$-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control
12. Factor systems and geometric structures of strongly graded rings
13. A Gr\"obner--Shirshov Basis for Nilpotent Rota--Baxter Algebras of Weight Zero
14. Integral elements of Okubo algebra and the E8-lattice
15. Commutators of finite multiplicative order
16. Varieties of bicommutative algebras with identity of degree three
17. The comaximal graph of a finite-dimensional Lie algebra
18. A Cryptosystem Using Cluster Algebras
19. Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
20. A categorical description of simple Beth companions
21. Integral Shell Polytopes of Composition Algebras
22. Hidden Structure of Jack Littlewood-Richardson Coefficients