プレプリどんどん: math.RA

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/2026-04-30/

1. On simple transposed Poisson algebras
2. Exterior-Model Spinors in Split Rank: Exact Levi Images and Square-Determinant Obstructions
3. Non-abelian Extensions of Lie algebras with derivations
4. Unitary representations and von Neumann's continuous geometries
5. Metrics on triangulated categories and restrictions of (co)-$t$-structures
6. On the automorphisms of the power semigroups of a numerical semigroup

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/2026-04-29/

1. Nilpotency and Frattini theory for transposed Poisson algebras
2. A colimit decomposition for the loop homology of polyhedral products
3. Atom spectra of symmetric monoidal abelian categories and classification of subcategories
4. Arboretum.hs: Symbolic manipulation for algebras of graphs

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/2026-04-28/

1. On the minimal dimension of maximal commutative subalgebras of $M_6(k)$
2. Rings with finitely many zero divisors
3. $k$-step nilpotent symplectic Lie algebras associated with graphs
4. Extracting Exact Lie Derivatives Without Backpropagation: A Dual Compiler for Neural Control Barrier Functions
5. A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
6. Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$
7. A rational model for the fiberwise THH transfer II: $A_\infty$-algebras

arXiv math.RAの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-27/

1. On the rank of quaternion Hankel matrices
2. On simple compact Lie skew braces
3. Affine Supertrusses and Superbraces

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/2026-04-24/

1. Left modularity and extremality for (some) infinite lattices
2. Globalization of Partial Group Actions on Not Necessarily Associative Algebras and Covariant Representations
3. Three-periodic helices on elliptic curves and their associated regular algebras
4. Addendum/Corrigendum to "On solubility of skew left braces and solutions of the Yang-Baxter equation"
5. A gap principle for polynomial volume growth of zero-entropy automorphisms
6. Quantization of nilpotent coadjoint $GL_N$-orbit closures in positive characteristics

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/2026-04-23/

1. Free Poisson Rota-Baxter algebra
2. Trivial extensions of Koszul Artin-Schelter regular algebras
3. Border subrank of higher order tensors and algebras
4. Injectivity paucity in AB5 categories of oversize chains

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/2026-04-22/

1. A new limit variety of additively idempotent semirings
2. Tomiyama-type maps with a diagonal perturbation
3. Hyper relative differential operators on Lie algebras
4. Change-of-Rings Theorems for the Small Finitistic Dimension
5. SignatureTensors.jl: A Package for Signature Tensors in Julia

arXiv math.RAの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-21/

1. Morita Invariance, Categorical Obstructions, and Dimension Transfer for \texorpdfstring{$C4$}{C4}, \texorpdfstring{$C4^{\ast}$}{C4*}, Strongly \texorpdfstring{$C4^{\ast}$}{C4*}, and Semi-Weak-CS Modules
2. Hochschild cohomology and lifts of endomorphisms
3. On the isotropy of differential Ore extensions
4. A note on $n$-Jordan homomorphisms
5. The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup
6. Rigidity and Cohomology of Seaweed Lie Algebras
7. Local and 2-local $\frac{1}2$-derivations of infinite-dimensional Lie algebras
8. `New' examples of skew fields not finitely generated as algebras
9. Lie Quandles, Leibniz Racks and Noether's First Theorem
10. Homological Aspects of Separable Extensions of Triangulated Categories
11. An introduction to separated graphs and their type semigroups

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/2026-04-20/

1. $G_2$-structures as Octonion Algebras
2. Chevalley property of module-finite Hopf algebras and discriminant ideals
3. $D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebras
4. Scalar relative differential invariants
5. Wedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$