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arXiv math.RAの新着論文12本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-31/ A Bounded Determinantal Ratio for Positive Definite Matrices On equivalence classes of dissipative Hamiltonian pencils The Type III realisation conjecture of Kirkland and \v{S}migoc Hidden decay in the inverses of acyclic matrices Inverse acyclic Z-matrices, matrices of tree structure and shifted generalized ultrametric matrices On phi-(k,n)-absorbing delta-primary hyperideals Certain functional identities on matrix rings Polynomial Maps with Constants over Division Algebras and the Generalized Kaplansky--L'vov Conjecture The geometric classification of left-symmetric algebras and superalgebras Mixed-identity-freeness and primitivity of group rings An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence $\mathsf{SKB}$ is not algebraically coherent
7 min
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/2026-07-30/ Automorphism Group of the Spectral Incidence Graph over Finite Fields SNT-Rank: Kronecker Products and Euclidean Distance Matrices On purity of Anderson t-modules Algorithms for Linear Ordinary Differential Operators
14 min
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/2026-07-29/ Positive definite matrices and involutions: the manners of their infinite cousins Closure operators on semilattice-ordered semigroups and spectrality of induced operations Iterate Wronskians over $\mathbb{R}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\ldots,x^d]$: the $N$-bonacci numbers bound the highest total degrees Hyperstructures as complete atomic Boolean algebras Nijenhuis modules and the ring of Nijenhuis operators Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras On the flatness of the Bergman space as a module over the Hardy algebra Hochschild Cohomology of the Symmetric Square of an Annulus with Stops
31 min
arXiv math.RAの新着論文18本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-28/ Non-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radius Local Derivations on a Block-type Lie Algebra Local and 2-Local automorphisms of n-dimensional totally graded filiform Lie algebras Cohomological dimension of a Lie algebra homomorphism General Polynomials and Eigenvalues Over Cayley--Dickson Algebras A canonical rigid direct-system representation of finite local-unit-aligned totally ordered monoids Residual coherentization of balanced residuated partially ordered semigroups A Counterexample to Byott's Conjecture for Finite Skew Braces The factorization system of a radical on a homological category Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories On the automorphisms of numerical power monoids A Hopf algebra on permutations with a coupling product A Grothendieck category with a noetherian generator and exact products that is not a module category On the distributivity of the subtractive closure operator over ideal operations in hemirings Counterexamples to Norm Conjectures of Wehlau in Modular Invariant Theory On the two-copy distillability of Werner states and a new partial trace inequality Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields Trace radicals and cocenters of free products
7 min
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/ Level Quotients of Free Metabelian Lie Algebras: Inverse Systems and Graded Deformations $n$-Absolutely pure and $n$-flat modules, revisited Dynamics Decomposition of Boolean Networks: An algebraic foundation Quotients of mosaics and related hyperstructures
7 min
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/ A note on symmetric midpoint algebras, or scales The space of two-dimensional vectors over a four-dimensional division algebra over $F_2$ Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$ Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices
10 min
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/ Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals A Reduced-Trace-Zero Element That Is Not a Commutator in a Central Division Algebra Dittert's conjecture in dimension 16 via a joint-deficit scaling lemma Derived representation schemes with arbitrary coefficients and associative smoothness A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots A Matrix-Degree Obstruction to Rational Generation of Boolean-Lattice Pseudo-Roots
8 min
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/ Basic Zero Divisor Mathematics (I) A Counterexample to Wehlau's Conjecture on Noether Numbers Remainders of generalised Taylor expansions and a priori bounds for rough differential equations On the Slice Rank of Tensors in P-Echelon Form On the autotopism groups and the equivalence of finite cyclic semifields
18 min
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/ Directed Extended Zero Divisor Graphs Of Non-Commutative Semigroups The group $\mathrm{TK}_1$ of graded and valued division algebras Hochschild theory of multiplicative sequences of algebras and coalgebra measurings Affinization of algebraic structures: Poisson algebras Cohomology for Deformation maps on quasi-twilled Lie triple systems Expanding Generalized Fine Rings A Log-Log Saving for Matrix-Algebra Length and Terseness Clifford and Weyl algebras in symmetric tensor categories Variations on a circular Hessenberg pair Skew CRT codes and their decoding in poly skew metric Totally Positive Matrices and the Highest-Order Coefficients of the Characteristic Polynomial
11 min
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/ New partial orders on Rickart *-rings Bounds on Frobenius dimension Direct Methods for Singular Fuzzy Linear Systems Using Generalized Inverses and Its Applications Notes on universal C*-algebras On Generalized von Neumann Inverse Graphs of Finite Commutative Regular Rings The Mathieu group ${\sf M}_{12}$ vs ${\mathbf{SL_3(3)}}$ in characteristic 3
9 min
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/ $m$-nil-clean nonderogatory matrices Quotients of strongly graded quasi-Hopf algebras Large affine spaces of symplectic forms On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras In Memoriam: Professor Dr. Winfried Bruns (1946--2026)
5 min
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/ Words don't come easy: strong affine representations of the polycyclic monoids Involutions of (twisted) diagram monoids Gaussian solutions to the Yang--Baxter equation and their twists
9 min
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/ Dual orthogonal tripotent matrices Initial pre-algebras as a generalization of dendriform algebras Quantum algorithm for Clifford multiplication The Center of the Temperley-Lieb Algebra Algebraic structures on non-Archimedean Urysohn universal metric spaces Clifford semigroups and the monoidal Grothendieck construction
35 min
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/ Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar construction Higher-power inverse functional identities and Frobenius collision obstructions Universal optimality of the double-centred matrix under unitarily invariant norms for dissimilarity data Completing the rank identity for Hadamard powers of Euclidean distance matrices Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Commutativity of Factor Ring R/P via *-Reverse P-Derivations Commutator-based Solutions to $AXA = XAX$ when $A^n = tA^2$ Generalized EP properties of (b c) inverses Matrix generators for the unit groups of $L_K(1,d)$ Extended generalized permutahedra, and cointeracting bialgebras Poisson derivations and cohomology of Poisson nilpotent algebras Superconformal algebras over arbitrary rings of coefficients Higher Structures of Rota--Baxter Lie $H$-Pseudoalgebras Counterexamples to a multivariable matrix Young conjecture The Dirac equation in (split-)octonions: origins, variants, and modern context Homological rigidity of quiver representations over $\mathbb{F}_1$ Properties of the Tropical Characteristic Polynomial of Symmetric Matrices $\mathfrak{so}_n(\mathbb{C})$-modules which are free over an abelian nilradical Global dimension of a string algebra
2 min
arXiv math.RAの新着論文1本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-13/ On Polar Decomposition of Dual Matrices
13 min
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/2026-07-10/ Waring Problem for matrices over finite local rings A majorization relation for a sum of two tensor products of positive semidefinite operators Invertibility of Anticommutator and Commutators of Higher Degree of $n$-potent Elements On Complement and Supplement Ideals of Nearrings On $q$-pre-Lie algebras A technique for computing oriented cohomology rings of semisimple algebraic groups A Study Of Skew-Polycyclic Codes Over A Non-Chain Ring Proof of Rump's Retraction Conjecture for Quasilinear Cycle Sets
9 min
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/2026-07-09/ Graded Locally Finite and Just Infinite Steinberg Algebras Mutation matrices from Poisson CGL extensions On the simplicity of Katsura algebras Maximal-Hull $z$-Ideals, Congruence Closures, and Coherent Frames of Commutative Semirings Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity $x^{2^n}\approx x$ Noncommutative vector field calculi
9 min
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/2026-07-08/ Finite dimensional zero Jordan product determined algebras are generated by idempotents Automorphism group schemes of Kantor pairs of associative central simple structurable algebras Lie and Jordan Isomorphisms of Algebras of Triangular Matrices over Associative Rings Circular Hessenberg pairs and the tridiagonal relations Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions
8 min
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/2026-07-07/ Fusion rules from the Norton inequality Lie algebras and coherence Some terminal orders on 3-folds Affine cellular algebras and asymptotic algebras Piecewise Symmetric Tensors
3 min
arXiv math.RAの新着論文2本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-07-03/ Bimodules in differential polynomial rings Pure infiniteness and primary factorisation