プレプリどんどん: math.RA

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/2026-06-26/

1. Groups of type $\mathrm{E}_8$ over rings via TKK-algebras and their extremal elements
2. Analogues of Gr\"un's lemma and Baer's theorem for skew left braces
3. Matrix stability and Morita invariance
4. Free Skew Braces and Free Solutions of the Yang--Baxter Equation

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/2026-06-25/

1. Closure Atlases and Local-to-Global Obstructions in Finite Closure Systems
2. Equivariant Cleft Extensions and Singular Equivalences
3. An Algebraic Viewpoint on Linear Differential Equations
4. On the Moser trick for Lie subalgebras and foliations

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/2026-06-24/

1. Irreducible noncommutative quadrics
2. The endomorphism tower of a finite symmetric group
3. On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group
4. Almost Symmetric Linear Arc Monadic Datalog and Transitive Tournaments

arXiv math.RAの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-06-23/

1. Transposed Poisson structure on the Witt-type algebra $\mathcal{W}(a,-1)$: Derivations, Automorphisms, and Rota--Baxter operators
2. Vector Determinant in the ARE Framework: From Scalar to Vector-Valued
3. Order-to-ring ideals via submultiplicative lattice seminorms in lattice-ordered algebras
4. Tame Automorphisms of Free Nilpotent Lie Algebras of Countably Infinite Rank
5. Lie subalgebras of vector fields on curves
6. A bicategorical perspective on Steinberg algebras
7. Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex
8. Standard Polynomials for Principal Subalgebras $\mathbb{K}Q_{\geq 1}$ of Path Algebras
9. Explicit Formula for Inverse and Determinant in Geometric Algebras over Odd-dimensional Vector Spaces
10. Graded differential polynomial rings
11. A Note on Quaternions over Commutative Rings
12. Parabolic induction for modular finite $W$-algebras
13. Ask zeta functions of central hyperplane arrangements
14. A note on simple-minded systems and weakly simple-minded systems over self-injective algebras
15. On Two Approaches to Cluster Structures on Partial Flag Varieties

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/2026-06-19/

1. Nijenhuis Lie $2$-algebras
2. Explicit descriptions of the subfields $(NL)^{pi}$ and $(NL)^{pi}(NL)^{sep}$ of $NL$ and new explicit criteria for $NL = (NL)^{pi}(NL)^{sep}$
3. Product of two matrices similar to companion matrices over sufficiently large fields
4. Order embeddings of real matrix domains
5. Free subgroups in weighted Leavitt Path Algebras
6. Functional completeness and primitive positive decomposition of relations on finite domains
7. Eigenvector Varieties

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/2026-06-18/

1. On restricted Rota-Baxter Lie algebras of arbitrary weight
2. Surjectivity of Engel Words on $\mathrm{SL}_2(\mathcal{O})$ and $\mathrm{PSL}_2(\mathcal{O}_2)$
3. Schur rings over cyclic groups having Almost Commutative Terwilliger algebras

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/2026-06-17/

1. Finite basis property for finite graded algebras
2. A note on the image of graded multilinear polynomials on upper triangular matrices
3. Non-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebras
4. The iterated geometric Green's formula
5. Radon transform for $GL_n(\mathbb{F}_q)$

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/2026-06-16/

1. The graded Grothendieck group ${K}_0^{\mathrm{gr}}$ is full for weighted Leavitt path algebras
2. On the structure of finite Novikov conformal algebras
3. A Generalization of UQ Rings
4. Jordan rigidity of full matrix algebras
5. Simple derivations and isotropy on Danielewski-type algebras
6. A unimodular bijection between harmonic vectors of 2-isomorphic graphs
7. On reduction and gluing technique of simple-minded systems over self-injective algebras
8. A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case
9. Right representations of Novikov algebras
10. On the Lyapunov equation with the state matrix in companion form
11. Determinant majorization for hyperbolic polynomials on Euclidean Jordan algebras

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/2026-06-15/

1. The Reduction Theorem for Leavitt Labelled Path Algebras and Its Applications
2. Classification of Finite-Dimensional Lie Algebras with Respect to the Length of Their Chief Series
3. Normal extensions of twisted graded Calabi--Yau algebras
4. Hilbert's basis theorem for Poisson Ore extensions
5. Pre-vertex algebras, pre-Poisson vertex algebras and their deformation quantizations
6. Theory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern

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/2026-06-12/

1. Near-Trinions: Complete Classification of Unital Three-Dimensional Real Associative Algebras
2. Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules
3. Rings with Clean-Like Properties: Endomorphism, Matrix and Structural Theorems
4. Roots of polynomials over semirings and hyperfields
5. $W-\delta-\mu$ dual codes and LCD codes
6. Silting subcategories and (co)torsion pairs associated to extended hearts