Rings and Algebras

Authors and titles for April 2025

[1] arXiv:2504.00868 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space Show Chinese title

Title: 关于二维向量空间上对称非退化双线性型的约当代数的可换同位体

Vita Glizburg, Sergey Pchelintsev

Comments: in Russian language

Subjects: Rings and Algebras (math.RA)

[2] arXiv:2504.01363 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Embedding Higman-Thompson groups of unfolding trees into the Leavitt path algebras Show Chinese title

Title: 将展开树的Higman-Thompson群嵌入到Leavitt路径代数中

Roman Gorazd

Subjects: Rings and Algebras (math.RA) ; Group Theory (math.GR)

[3] arXiv:2504.02428 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Semigroup Congruences and Subsemigroups of the Direct Square Show Chinese title

Title: 半群同余与直平方的子半群

Callum Barber, Nik Ruškuc

Subjects: Rings and Algebras (math.RA) ; Group Theory (math.GR)

[4] arXiv:2504.03288 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Multiplicative near-vector spaces Show Chinese title

Title: 乘性近向量空间

L. Boonzaaier, S.Marques, D. Moore

Subjects: Rings and Algebras (math.RA)

[5] arXiv:2504.03644 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Quantum fractional revival on unitary Cayley graphs over finite commutative rings Show Chinese title

Title: 有限交换环上的幺正Cayley图上的量子分数复兴

Saowalak Jitngam, Poom Kumam, Songpon Sriwongsa

Comments: 17 pages

Subjects: Rings and Algebras (math.RA) ; Combinatorics (math.CO)

[6] arXiv:2504.03645 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Bialgebra theory and $\mathcal O$-operators of admissible Hom-Poisson algebras Show Chinese title

Title: 双代数理论与可容许Hom-Poisson代数的$\mathcal O$-算子

Karima Benali

Subjects: Rings and Algebras (math.RA)

[7] arXiv:2504.03646 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Third-order Jacobsthal $3$-Parameter Generalized Quaternions Show Chinese title

Title: 三阶Jacobsthal$3$-参数广义四元数

Gamaliel Morales

Subjects: Rings and Algebras (math.RA)

[8] arXiv:2504.03658 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Regular linear time varying DAEs are equivalent to DAEs in strong standard canonical form Show Chinese title

Title: 常规线性时变 DAE 等价于强标准规范形式的 DAE

Diana Estévez Schwarz, René Lamour, Roswitha März

Comments: 14 pages, 10 figures

Subjects: Rings and Algebras (math.RA) ; Classical Analysis and ODEs (math.CA)

[9] arXiv:2504.03659 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On some admissible lattices Show Chinese title

Title: 关于某些可容许的格子

Stefano Fioravanti

Comments: arXiv admin note: text overlap with arXiv:2302.11452

Subjects: Rings and Algebras (math.RA)

[10] arXiv:2504.04092 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Anti-commutative anti-associative algebras. Acaa-algebras Show Chinese title

Title: 反对称反结合代数。反对称反结合代数（AcAA-代数）。

Elisabeth Remm

Comments: 12 pages

Subjects: Rings and Algebras (math.RA)

[11] arXiv:2504.04146 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Approximately Prime Rings and Prime Ideals Show Chinese title

Title: 近似素环与素理想

Maram Almahariq, James Francis Peters, Tane Vergili

Comments: 9 pages, 1 figure

Subjects: Rings and Algebras (math.RA)

[12] arXiv:2504.05182 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Profinite Direct Sums with Applications to Profinite Groups of Type $Φ_R$ Show Chinese title

Title: Profinite 直和及其在 $Φ_R$ 型 Profinite 群中的应用

Jiacheng Tang

Comments: 17 pages

Subjects: Rings and Algebras (math.RA) ; Category Theory (math.CT) ; Group Theory (math.GR)

[13] arXiv:2504.05264 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Existence and characterizations of hyper-dual group inverse Show Chinese title

Title: 双超群逆的存在性与刻画

Tikesh Verma, Amit Kumar, Vaibhav Shekhar

Comments: We propose a generalized inverse for a hyper-dual matrix called hyper-dual group generalized inverse (HDGGI). Under certain necessary and sufficient conditions, we establish the existence of the HDGGI of a hyper-dual matrix. We then show that the HDGGI is unique (whenever exists)

Subjects: Rings and Algebras (math.RA) ; Commutative Algebra (math.AC) ; Functional Analysis (math.FA)

[14] arXiv:2504.05656 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: Anti-pre-Novikov algebras, quasi-triangular and factorizable anti-pre-Novikov bialgebras Show Chinese title

Title: 反预诺维科夫代数，准三角形和可分解的反预诺维科夫双代数

Qinxiu Sun, Xingyu Zeng

Comments: 40 pages

Subjects: Rings and Algebras (math.RA) ; Quantum Algebra (math.QA)

[15] arXiv:2504.05969 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Extension of derivations to forms Show Chinese title

Title: 导子到形式的延拓

Manujith K. Michel, Chitrarekha Sahu

Comments: 4 pages

Subjects: Rings and Algebras (math.RA)

[16] arXiv:2504.06873 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: A note on measurings and higher order Hochschild homology of algebras Show Chinese title

Title: 关于代数的测量和高阶Hochschild同调的一点注记

Abhishek Banerjee, Surjeet Kour

Subjects: Rings and Algebras (math.RA)

[17] arXiv:2504.07076 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On Fundamental Theorems of Super Invariant Theory Show Chinese title

Title: 关于超不变量理论的基本定理

Junaid Razzaq, Rita Fioresi, Maria A. Lledo

Subjects: Rings and Algebras (math.RA)

[18] arXiv:2504.07908 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Majorizations for probability distributions, column stochastic matrices and their linear preservers Show Chinese title

Title: 概率分布、列随机矩阵及其线性保持器的控射关系

Pavel Shteyner

Comments: 26 pages, minor improvements

Subjects: Rings and Algebras (math.RA)

[19] arXiv:2504.08350 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Quadratic Motion Polynomials With Irregular Factorizations Show Chinese title

Title: 带有不规则分解的二次运动多项式

Daren A. Thimm, Zijia Li, Hans-Peter Schröcker, Johannes Siegele

Subjects: Rings and Algebras (math.RA)

[20] arXiv:2504.08693 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Core partial order for finite potent endomorphisms Show Chinese title

Title: 有限幂等自同态的核心偏序关系

Diego Alba Alonso

Comments: arXiv admin note: text overlap with arXiv:2103.04089 by other authors

Subjects: Rings and Algebras (math.RA)

[21] arXiv:2504.08920 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Witt invariants of quaternionic forms Show Chinese title

Title: 四元数型的Witt不变量

Nicolas Garrel

Comments: 18 pages

Subjects: Rings and Algebras (math.RA)

[22] arXiv:2504.09044 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On quadratic Novikov algebras Show Chinese title

Title: 关于二次Novikov代数

Xiaofeng Dong, Yanyong Hong

Subjects: Rings and Algebras (math.RA) ; Mathematical Physics (math-ph)

[23] arXiv:2504.09051 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: The varieties generated by 3-hypergraph semirings Show Chinese title

Title: 由3超图半环生成的代数簇

Yuanfan Zhuo, Xingliang Liang, Yanan Wu, Xianzhong Zhao

Subjects: Rings and Algebras (math.RA) ; Combinatorics (math.CO)

[24] arXiv:2504.09822 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On the existence of parameterized noetherian rings Show Chinese title

Title: 关于参数化诺特环的存在性

Xiaolei Zhang

Subjects: Rings and Algebras (math.RA)

[25] arXiv:2504.11342 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Williams' conjecture holds for graphs of Gelfand-Kirillov dimension three Show Chinese title

Title: 威廉斯猜想对于Gelfand-Kirillov维数为三的图成立

Tran Quang Do, Roozbeh Hazrat, Tran Giang Nam

Subjects: Rings and Algebras (math.RA) ; Dynamical Systems (math.DS) ; Operator Algebras (math.OA)

[26] arXiv:2504.11940 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: $f$-vectors and $F$-invariant in generalized cluster algebras Show Chinese title

Title: 广义聚类代数中的$f$-向量和$F$-不变量

Huihui Ye, Changjian Fu

Comments: 17 pages

Subjects: Rings and Algebras (math.RA)

[27] arXiv:2504.12138 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: Exactness of cochain complexes via additive functors Show Chinese title

Title: 通过加法函子确定上链复形的精确性

Federico Campanini, Alberto Facchini

Subjects: Rings and Algebras (math.RA)

[28] arXiv:2504.12155 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On a category of chains of modules whose endomorphism rings have at most $2n$ maximal ideals Show Chinese title

Title: 关于链环的范畴，其自同构环最多有$2n$个极大理想

Federico Campanini

Subjects: Rings and Algebras (math.RA)

[29] arXiv:2504.12649 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Extensions of locally matricial and locally semisimple algebras Show Chinese title

Title: 局部矩阵代数和局部半单代数的扩张

K.R. Goodearl

Subjects: Rings and Algebras (math.RA)

[30] arXiv:2504.12873 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On a category of extensions whose endomorphism rings have at most four maximal ideals Show Chinese title

Title: 关于其自同构环最多只有四个极大理想的扩张范畴

Federico Campanini, Alberto Facchini

Subjects: Rings and Algebras (math.RA)

[31] arXiv:2504.12874 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Homomorphisms with semilocal endomorphism rings between modules Show Chinese title

Title: 具有半局部自同态环之间的模同态

Federico Campanini, Susan F. El-Deken, Alberto Facchini

Subjects: Rings and Algebras (math.RA)

[32] arXiv:2504.12886 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: The multiplication probability of a finite ring Show Chinese title

Title: 有限环的乘法概率

David Dolžan

Subjects: Rings and Algebras (math.RA)

[33] arXiv:2504.14285 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Formal matrix representations of pseudo-Frobenius and Frobenius rings Show Chinese title

Title: 伪弗罗贝尼乌斯环和弗罗贝尼乌斯环的形式矩阵表示

Dominik Krasula

Subjects: Rings and Algebras (math.RA)

[34] arXiv:2504.14293 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Show Chinese title

Title: 双洗牌李代数嵌入到Kashiwara-Vergne李代数中

Leila Schneps

Subjects: Rings and Algebras (math.RA)

[35] arXiv:2504.14397 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Deformation Theory and Hopf Actions on Koszul Algebras Show Chinese title

Title: 变形理论与Koszul代数上的Hopf作用

A. V. Shepler, S. Witherspoon

Comments: 47 pages; typos corrected and other small edits made

Subjects: Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[36] arXiv:2504.14540 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Jacobson identities for post-Lie algebras in positive characteristic Show Chinese title

Title: 特征为正的post-Lie代数的Jacobson恒等式

Quentin Ehret, Nicolas Gilliers

Subjects: Rings and Algebras (math.RA)

[37] arXiv:2504.14670 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: The orbit method for the Virasoro algebra Show Chinese title

Title: Virasoro代数的轨道方法

Tuan Anh Pham

Comments: 47 pages

Subjects: Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[38] arXiv:2504.14829 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: $\mathrm{M}$-ideals: from Banach spaces to rings Show Chinese title

Title: $\mathrm{M}$-理想：从巴拿赫空间到环

David P. Blecher, Amartya Goswami

Comments: 12 pages

Subjects: Rings and Algebras (math.RA) ; Operator Algebras (math.OA)

[39] arXiv:2504.15064 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Show Chinese title

Title: 低维拟李代数导子的矩阵表示

Imed Basdouri, Bouzid Mosbahi

Subjects: Rings and Algebras (math.RA)

[40] arXiv:2504.15092 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Extending structures for pre-Poisson algebras and pre-Poisson bialgebras Show Chinese title

Title: 预备泊松代数和预备泊松双代数的扩张结构

Qianwen Zhu, Guilai Liu, Qinxiu Sun

Subjects: Rings and Algebras (math.RA)

[41] arXiv:2504.15775 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Rings whose mininjective modules are injective Show Chinese title

Title: 极小内射模为内射环的研究

Yusuf Alagöz, Sinem Benli-Göral, Engin Büyükaşık, Juan Ramón García Rozas, Luis Oyonarte

Subjects: Rings and Algebras (math.RA)

[42] arXiv:2504.15889 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: Zinbiel bialgebras, relative Rota-Baxter operators and the related Yang-Baxter Equation Show Chinese title

Title: Zinbiel双代数、相对Rota-Baxter算子及相关Yang-Baxter方程

You Wang

Subjects: Rings and Algebras (math.RA)

[43] arXiv:2504.16111 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Residuated lattices do not have the amalgamation property Show Chinese title

Title: 剩余格不具有合并性质

Peter Jipsen, Simon Santschi

Comments: 2 pages, 1 figure

Subjects: Rings and Algebras (math.RA) ; Logic (math.LO)

[44] arXiv:2504.16598 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Cohomologies of Reynolds Lie algebras with derivations and its applications Show Chinese title

Title: 带有导子的雷诺斯李代数的上同调及其应用

Basdouri Imed, Sadraoui Mohamed Amin

Comments: 21 pages

Subjects: Rings and Algebras (math.RA)

[45] arXiv:2504.16643 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Multiple Rota-Baxter algebra and multiple Rota-Baxter modules Show Chinese title

Title: 多元Rota-Baxter代数与多元Rota-Baxter模

Jun He, Xiaosong Peng, Yi Zhang

Comments: 26pages

Subjects: Rings and Algebras (math.RA)

[46] arXiv:2504.17168 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: The Nilpotency of the Nil Metric $\mathbb{F}$-Algebras Show Chinese title

Title: Nil度量下 $\mathbb{F}$-代数的幂零性

Antonio de França

Subjects: Rings and Algebras (math.RA)

[47] arXiv:2504.17283 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: Commuting degree for BCK-algebras Show Chinese title

Title: BCK-代数的交换度

C. Matthew Evans

Subjects: Rings and Algebras (math.RA)

[48] arXiv:2504.17348 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On the length of generating sets with conditions on minimal polynomial Show Chinese title

Title: 关于生成集长度的条件极小多项式

Chengjie Wang

Comments: 24 pages

Subjects: Rings and Algebras (math.RA)

[49] arXiv:2504.17416 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra Show Chinese title

Title: 关于Turaev余作用、Goncharov--Brown余作用与约化余作用李代数之间的关系

Muze Ren

Comments: 9 pages, comments are welcome

Subjects: Rings and Algebras (math.RA)

[50] arXiv:2504.18021 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: On Artin algebras whose indecomposable modules are determined by composition factors Show Chinese title

Title: 关于Artin代数的不可分解模由合成因子决定的研究

Victor Blasco

Subjects: Rings and Algebras (math.RA) ; Commutative Algebra (math.AC) ; Category Theory (math.CT)