プレプリどんどん編集部

プレプリどんどん: math.RA

Science JA ↓ 127 episodes

arXiv math. RA (環と代数) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 研究者の皆様の情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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プレプリどんどん編集部

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Science

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prepridondon.nyoho.jp

Latest episode

Oct 19, 2026

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Episodes

リー代数と組成代数と環とグラフ - 2026/8/6の論文12本 06.08.2026

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/2026-08-06/ Solvable Quadratic Lie algebras up to dimension 7 Two absolutely bounded determinantal ratios Composition algebras in symmetric tensor categories On abelian complex structures on Nilpotent Lie Algebras Gradings by cyclic groups on classical simple Lie algebras in prime chara...

代数構造と商環と群の性質 - 2026/8/5の論文9本 05.08.2026

arXiv math. RAの新着論文9本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-05/ Hom-Poisson superalgebras with nondegenerate bilinear forms and compatible Hom-anti-pre-Poisson superalgebras Finite-field Krasner quotients: isomorphism thresholds, characteristics, and censuses A Martindale-like Ring of Quotients for any ring A note on some upper bounds for...

代数構造とグラフ理論と量子暗号 - 2026/8/4の論文13本 04.08.2026

arXiv math. RAの新着論文13本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-08-04/ A counterexample to Han's conjecture Dynamics on graphs with disjoint cycles and applications Clifford Algebra Calibration Post-Quantum Cryptography From Eigenvalues/Eigenvectors of Hypermatrices to Canonical Form of Tensors On anti-left-invariant and left-invariant pseudo-E...

半環と不変量とRota-Baxter演算子 - 2026/8/3の論文5本 03.08.2026

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/2026-08-03/ Alternating Quinary Cores of Complete Atomic Ternary $\Gamma$-Semirings: Representation, Binary-Collapse Rigidity, and Witness Geometry Additive preservers of permanent rank Monomial Rota-Baxter and averaging operators on $F[x, x^{-1}]$ Regular Borel subalgebras of the Lie Al...

行列と代数構造と環の性質 - 2026/7/31の論文12本 31.07.2026

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...

有限体と行列とt加法群と微分作用素 - 2026/7/30の論文4本 30.07.2026

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

正定値行列とホップ代数とコホモロジー - 2026/7/29の論文8本 29.07.2026

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 $N$-bona...

リー代数とモノイドと環の構造解析 - 2026/7/28の論文18本 28.07.2026

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 homom...

自由メタアベル Lie 代数とモジュールとブールネットワーク - 2026/7/27の論文4本 27.07.2026

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

対称代数と行列とジョルダン代数 - 2026/7/24の論文4本 24.07.2026

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 dec...

リー代数と除代数とヤコビアン - 2026/7/23の論文6本 23.07.2026

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 representatio...

零因子とテンソルと準体 - 2026/7/22の論文5本 22.07.2026

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 equiv...

代数構造とグラフと行列と符号 - 2026/7/21の論文11本 21.07.2026

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 Coho...

環と代数と逆行列と群 - 2026/7/20の論文6本 20.07.2026

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 Th...

行列とホップ代数とシンプレクティック形式 - 2026/7/17の論文5本 17.07.2026

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)

表現とモノイドとヤンバクスター方程式 - 2026/7/16の論文3本 16.07.2026

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/ 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

行列と代数構造と量子アルゴリズム - 2026/7/15の論文6本 15.07.2026

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 semigroup...

行列と代数構造と不決定性 - 2026/7/14の論文20本 14.07.2026

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 dissimil...

双対行列と極分解 - 2026/7/13の論文1本 13.07.2026

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

有限環とテンソル積と代数構造 - 2026/7/10の論文8本 10.07.2026

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 Nearr...

代数構造とベクトル場とイデアル - 2026/7/9の論文6本 09.07.2026

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 com...

代数構造と同型写像と行列関係 - 2026/7/8の論文5本 08.07.2026

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 Circula...

リー代数と融合則とテンソル - 2026/7/7の論文5本 07.07.2026

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

微分多項式環と純無限性 - 2026/7/3の論文2本 03.07.2026

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

代数構造と圏論と超導出 - 2026/7/2の論文10本 02.07.2026

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/2026-07-02/ Solvability and nilpotency of transposed Novikov-Poisson algebras The Equivalence Problem for Generalized Airy Operators Local (Anti-)Superderivations on Nilpotent Lie Superalgebras Sums of units in finite rings and applications to Cayley graphs On a new class of high-corank...

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