プレプリどんどん: math.RA

プレプリどんどん: math.RA

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プレプリどんどん: math.RA episodes

  • 可換環とホップ代数とLie代数 - 2026/5/14の論文7本

    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/2026-05-14/

    1. A completion of reduced commutative rings
    2. Expander Evolution Algebras
    3. Cocommutative Hopf Dialgebras and Rack Combinatorics
    4. Commuting maps of inflated algebras
    5. ARE Method: Orbital Decompositions and Dihedral Cancellations for Determinants
    6. Eventual sign coherence
    7. On p-Lie algebras of finite Morley rank
    12 min
  • 代数と群とルート系と推定問題 - 2026/5/13の論文5本

    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/2026-05-13/

    1. Uniqueness Theorems for Twisted Steinberg Algebras
    2. Groups of permutations that are even on maximal proper subsets, and related monoids
    3. Trace ideals and uniserial modules
    4. Balanced subsets in root systems
    5. Estimation Problems and the Modulating Function Method: The Algebra of Modulating Functions
    10 min
  • 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/

    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
    43 min
  • ホップ代数とバナッハ代数と格子 - 2026/5/11の論文5本

    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/2026-05-11/

    1. Mean weak length
    2. Opposite brace triples, Hopf braces and matched pairs of Hopf algebras
    3. Commutativity preserving mappings in Banach algebras
    4. Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
    5. Computing bases in Hermite normal form of lattices of integer relations
    10 min
  • リー環とK理論と多項式 - 2026/5/7の論文8本

    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/2026-05-07/

    1. Left--right Transfer for $C4^{\ast}$-Rings Beyond the Regular Case
    2. A Generalised Jordan Normal Form and Its Computation Over Finite Fields
    3. On the structural behavior of images of polynomials
    4. On Lie Algebras with Only Inner Derivations
    5. Faithful linear and relational representations of diagram categories and monoids
    6. Symmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach
    7. Contact and 2-compatible Lie algebras
    8. Algebraic $K$-theory, cohomotopy $K$-groups, and Koszul duality
    12 min
  • 半環と量子代数とホップブレースと符号と双対性 - 2026/5/6の論文5本

    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/2026-05-06/

    1. Solving one-sided linear systems over symmetrized and supertropical semiring
    2. On Regular Quantum Commutative Algebras
    3. Central series of cocommutative Hopf braces
    4. Cyclic codes over the ring Z2[u,v](u2(1+u),v2(1+v2))
    5. A duality for definable subcategories and its application to torsion classes
    8 min
  • 代数構造と行列分解と不変量 - 2026/5/5の論文10本

    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/2026-05-05/

    1. Nonsymmetric versions of binary quadratic operads
    2. Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
    3. Poisson $n$-Lie algebras: constructions and the structure of solvable algebras
    4. Non-abelian extensions of Hom-Jacobi-Jordan algebras
    5. An algorithmic reduction to canonical forms for vector bundles on anisotropic conics
    6. An Orlov theorem for matrix factorizations with multiple factors
    7. Quasi-Gorenstein morphisms of commutative local dg-algebras
    8. Self-dual codes with group actions and invariants
    9. Accessibility and Gorenstein injective envelopes
    10. Real tensor factorizations and generalized inverses under the $t$-product
    14 min
  • 微分代数とホップ代数と環の次元 - 2026/5/4の論文6本

    arXiv math.RAの新着論文6本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-05-04/

    1. Identities in differential perm algebras
    2. Combinatorics on finite words and the length of a finite-dimensional associative algebra
    3. On ${\pi}$-systems of symmetrizable Kac-Moody algebras
    4. On local function, an algebraic approach
    5. Report on $AS$-Gorenstein Hopf algebras
    6. On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
    9 min
  • 行列多項式とリー代数と環構造 - 2026/5/1の論文4本

    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/2026-05-01/

    1. Polynomial Maps with Constants on Matrix Algebra
    2. Fixed-point-free automorphisms of solvable Lie algebras
    3. From finite to infinite length modules over tame hereditary algebras
    4. A Ring structure on the Class of Combinatorial Games
    7 min

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