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/2026-07-27/

1. Level Quotients of Free Metabelian Lie Algebras: Inverse Systems and Graded Deformations
2. $n$-Absolutely pure and $n$-flat modules, revisited
3. Dynamics Decomposition of Boolean Networks: An algebraic foundation
4. Quotients of mosaics and related hyperstructures

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/2026-07-24/

1. A note on symmetric midpoint algebras, or scales
2. The space of two-dimensional vectors over a four-dimensional division algebra over $F_2$
3. Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$
4. Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices

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/2026-07-23/

1. Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals
2. A Reduced-Trace-Zero Element That Is Not a Commutator in a Central Division Algebra
3. Dittert's conjecture in dimension 16 via a joint-deficit scaling lemma
4. Derived representation schemes with arbitrary coefficients and associative smoothness
5. A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots
6. A Matrix-Degree Obstruction to Rational Generation of Boolean-Lattice Pseudo-Roots

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/2026-07-22/

1. Basic Zero Divisor Mathematics (I)
2. A Counterexample to Wehlau's Conjecture on Noether Numbers
3. Remainders of generalised Taylor expansions and a priori bounds for rough differential equations
4. On the Slice Rank of Tensors in P-Echelon Form
5. On the autotopism groups and the equivalence of finite cyclic semifields

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/2026-07-21/

1. Directed Extended Zero Divisor Graphs Of Non-Commutative Semigroups
2. The group $\mathrm{TK}_1$ of graded and valued division algebras
3. Hochschild theory of multiplicative sequences of algebras and coalgebra measurings
4. Affinization of algebraic structures: Poisson algebras
5. Cohomology for Deformation maps on quasi-twilled Lie triple systems
6. Expanding Generalized Fine Rings
7. A Log-Log Saving for Matrix-Algebra Length and Terseness
8. Clifford and Weyl algebras in symmetric tensor categories
9. Variations on a circular Hessenberg pair
10. Skew CRT codes and their decoding in poly skew metric
11. Totally Positive Matrices and the Highest-Order Coefficients of the Characteristic Polynomial

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/2026-07-20/

1. New partial orders on Rickart *-rings
2. Bounds on Frobenius dimension
3. Direct Methods for Singular Fuzzy Linear Systems Using Generalized Inverses and Its Applications
4. Notes on universal C*-algebras
5. On Generalized von Neumann Inverse Graphs of Finite Commutative Regular Rings
6. The Mathieu group ${\sf M}_{12}$ vs ${\mathbf{SL_3(3)}}$ in characteristic 3

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/2026-07-17/

1. $m$-nil-clean nonderogatory matrices
2. Quotients of strongly graded quasi-Hopf algebras
3. Large affine spaces of symplectic forms
4. On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras
5. In Memoriam: Professor Dr. Winfried Bruns (1946--2026)

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/2026-07-16/

1. Words don't come easy: strong affine representations of the polycyclic monoids
2. Involutions of (twisted) diagram monoids
3. Gaussian solutions to the Yang--Baxter equation and their twists

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/2026-07-15/

1. Dual orthogonal tripotent matrices
2. Initial pre-algebras as a generalization of dendriform algebras
3. Quantum algorithm for Clifford multiplication
4. The Center of the Temperley-Lieb Algebra
5. Algebraic structures on non-Archimedean Urysohn universal metric spaces
6. Clifford semigroups and the monoidal Grothendieck construction

arXiv math.RAの新着論文20本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-14/

1. Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar construction
2. Higher-power inverse functional identities and Frobenius collision obstructions
3. Universal optimality of the double-centred matrix under unitarily invariant norms for dissimilarity data
4. Completing the rank identity for Hadamard powers of Euclidean distance matrices
5. Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification
6. The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$
7. Commutativity of Factor Ring R/P via *-Reverse P-Derivations
8. Commutator-based Solutions to $AXA = XAX$ when $A^n = tA^2$
9. Generalized EP properties of (b c) inverses
10. Matrix generators for the unit groups of $L_K(1,d)$
11. Extended generalized permutahedra, and cointeracting bialgebras
12. Poisson derivations and cohomology of Poisson nilpotent algebras
13. Superconformal algebras over arbitrary rings of coefficients
14. Higher Structures of Rota--Baxter Lie $H$-Pseudoalgebras
15. Counterexamples to a multivariable matrix Young conjecture
16. The Dirac equation in (split-)octonions: origins, variants, and modern context
17. Homological rigidity of quiver representations over $\mathbb{F}_1$
18. Properties of the Tropical Characteristic Polynomial of Symmetric Matrices
19. $\mathfrak{so}_n(\mathbb{C})$-modules which are free over an abelian nilradical
20. Global dimension of a string algebra