Rings and Algebras

Authors and titles for math.RA in Apr 2024

[1]  arXiv:2404.00289 [pdf, ps, other]

Title: Rota-Baxter operators of weight zero on upper-triangular matrices of order three

Authors: Vsevolod Gubarev

Comments: 22 p

Subjects: Rings and Algebras (math.RA)

[2]  arXiv:2404.00627 [pdf, ps, other]

Title: A cohomological study of modified Rota-Baxter associative algebras with derivations

Authors: Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui, Ripan Saha

Comments: 20 pages

Subjects: Rings and Algebras (math.RA)

[3]  arXiv:2404.00981 [pdf, ps, other]

Title: Classification of three-dimensional anti-dendriform algebras

Authors: K. Abdurasulov, J. Adashev, Z. Normatov, Sh. Solijonova

Comments: 14 pages. arXiv admin note: text overlap with arXiv:2209.08962 by other authors

Subjects: Rings and Algebras (math.RA)

[4]  arXiv:2404.01719 [pdf, ps, other]

Title: From the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5

Authors: Alberto Elduque, Pavel Etingof, Arun S. Kannan

Comments: 22 pages

Subjects: Rings and Algebras (math.RA)

[5]  arXiv:2404.01771 [pdf, ps, other]

Title: On the rings whose injective right modules are max-projective

Authors: Yusuf Alagöz, Engin Büyükaşık, Baran Yurtsever

Subjects: Rings and Algebras (math.RA)

[6]  arXiv:2404.01937 [pdf, ps, other]

Title: Depolarization and distributive laws

Authors: Elisabeth Remm

Comments: 24 pages

Subjects: Rings and Algebras (math.RA)

[7]  arXiv:2404.02224 [pdf, ps, other]

Title: Semigroups of linear transformations whose restrictions belong to a general linear group

Authors: Kritsada Sangkhanan

Subjects: Rings and Algebras (math.RA)

[8]  arXiv:2404.02752 [pdf, ps, other]

Title: Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences

Authors: Qinxiu Sun, Qianwen Zhu

Subjects: Rings and Algebras (math.RA)

[9]  arXiv:2404.02777 [pdf, ps, other]

Title: Decompositions of Periodic Matrices into a Sum of Special Matrices

Authors: Peter Danchev, Esther García, Miguel Gómez Lozano

Subjects: Rings and Algebras (math.RA)

[10]  arXiv:2404.04553 [pdf, ps, other]

Title: A generalized hand-eye calibration dual quaternion matrix equation

Authors: LvMing Xie, QingWen Wang

Subjects: Rings and Algebras (math.RA)

[11]  arXiv:2404.04873 [pdf, other]

Title: Types of Irreducible Divisor Graphs of Noncommutative Domains, II

Authors: A. Naser, R. E. Abdel-Khalek, R. M. Salem, A. M. Hassanein

Subjects: Rings and Algebras (math.RA)

[12]  arXiv:2404.06045 [pdf, ps, other]

Title: Bracket width of current Lie algebras

Authors: Boris Kunyavskii, Ievgen Makedonskyi, Andriy Regeta

Comments: 8 pages

Subjects: Rings and Algebras (math.RA)

[13]  arXiv:2404.06368 [pdf, ps, other]

Title: Replacing bar-like resolutions in a simplicial setting

Authors: Samuel Carolus, Jacob Laubacher, Sydney D. Vitalbo, Leah K. Widlarz

Comments: 9 pages, comments welcome. arXiv admin note: text overlap with arXiv:1707.03863

Subjects: Rings and Algebras (math.RA)

[14]  arXiv:2404.06801 [pdf, ps, other]

Title: Torsion subgroups of Whitehead groups of graded division algebras

Authors: Huynh Viet Khanh, Nguyen Duc Anh Khoa, Nguyen Dinh Anh Khoi

Subjects: Rings and Algebras (math.RA)

[15]  arXiv:2404.06916 [pdf, ps, other]

Title: On the first $τ$-tilting Hochschild cohomology of an algebra

Authors: Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar

Comments: 14 pages

Subjects: Rings and Algebras (math.RA); K-Theory and Homology (math.KT); Representation Theory (math.RT)

[16]  arXiv:2404.07093 [pdf, ps, other]

Title: Rank conditions and amenability for rings associated to graphs

Authors: Karl Lorensen, Johan Öinert

Comments: A few minor changes in the second version

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

[17]  arXiv:2404.07154 [pdf, other]

Title: Weights with Maximal Symmetry and Failures of the MacWilliams Identities

Authors: Jay A. Wood

Comments: 84 pages, 1 figure

Subjects: Rings and Algebras (math.RA); Information Theory (cs.IT)

[18]  arXiv:2404.07623 [pdf, ps, other]

Title: Semirings generated by idempotents

Authors: David Dolžan

Subjects: Rings and Algebras (math.RA)

[19]  arXiv:2404.08393 [pdf, ps, other]

Title: Invertibility preservers of finitary incidence algebras

Authors: Jorge J. Garcés, Mykola Khrypchenko

Subjects: Rings and Algebras (math.RA)

[20]  arXiv:2404.08629 [pdf, ps, other]

Title: Classification of Boolean Algebras through von Neumann regular $\mathcal{C}^{\infty}-$Rings

Authors: Jean Cerqueira Berni, Hugo Luiz Mariano

Comments: arXiv admin note: substantial text overlap with arXiv:1905.09617

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

[21]  arXiv:2404.08752 [pdf, ps, other]

Title: Centroid and algebraic properties of evolution algebras through graphs

Authors: Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves, Dolores Martín Barquero, Cándido Martín González, Iván Ruiz Campos

Subjects: Rings and Algebras (math.RA)

[22]  arXiv:2404.08841 [pdf, ps, other]

Title: Mal'tsev products of varieties, I

Authors: Tomasz Penza, Anna B. Romanowska

Journal-ref: Algebra Universalis 82, Article no. 33 (2021)

Subjects: Rings and Algebras (math.RA)

[23]  arXiv:2404.08843 [pdf, ps, other]

Title: Mal'tsev products of varieties, II

Authors: Tomasz Penza, Anna B. Romanowska

Journal-ref: Algebra Universalis 83, Article no. 21 (2022)

Subjects: Rings and Algebras (math.RA)

[24]  arXiv:2404.09176 [pdf, other]

Title: BiHom-$Ω$-associative algebras and related structures

Authors: Jiaqi Liu, Yuanyuan Zhang

Comments: 27pages, comments are welcome!

Subjects: Rings and Algebras (math.RA)

[25]  arXiv:2404.09224 [pdf, ps, other]

Title: Quotient Modules of Finite Length and Their Relation to Fredholm Elements in Semiprime Rings

Authors: Niklas Ludwig

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

[26]  arXiv:2404.09623 [pdf, ps, other]

Title: Skew two-sided bracoids

Authors: Izabela Agata Malinowska

Comments: Comments are welcomed

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

[27]  arXiv:2404.10125 [pdf, ps, other]

Title: Where are the N-Koszul algebras of finite global dimension?

Authors: Abdourrahmane Kabbaj

Subjects: Rings and Algebras (math.RA)

[28]  arXiv:2404.10651 [pdf, ps, other]

Title: Rings whose Non-Invertible Elements are Strongly Nil-Clean

Authors: Peter Danchev, Omid Hasanzadeh, Arash Javan, Ahmad Moussavi

Comments: 25 pages

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

[29]  arXiv:2404.10885 [pdf, ps, other]

Title: On retract varieties of algebras

Authors: Emília Halušková, Danica Jakubíková-Studenovská

Comments: 15 pages

Subjects: Rings and Algebras (math.RA)

[30]  arXiv:2404.10923 [pdf, ps, other]

Title: Two Homomorphisms from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the affine Yangian associated with $\widehat{\mathfrak{sl}}(n+1)$

Authors: Mamoru Ueda

Comments: We have fixed the discussion about the coset of a vertex algebra. arXiv admin note: text overlap with arXiv:2312.09933

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

[31]  arXiv:2404.11038 [pdf, ps, other]

Title: Nilpotent symplectic alternating algebras II

Authors: Layla Sorkatti, Gunnar Traustason

Comments: 29 pages

Journal-ref: International Journal of Algebra and Computation, Vol. 26, No. 5 (2016) 1071-1094

Subjects: Rings and Algebras (math.RA)

[32]  arXiv:2404.11039 [pdf, ps, other]

Title: Nilpotent symplectic alternating algebras I

Authors: Layla Sorkatti, Gunnar Traustason

Comments: 25 pages

Journal-ref: Journal of Algebra, Volume 423, 2015, Pages 615-635, ISSN 0021-8693

Subjects: Rings and Algebras (math.RA)

[33]  arXiv:2404.11240 [pdf, ps, other]

Title: Two-generation of traceless matrices over finite fields

Authors: Omer Cantor, Urban Jezernik, Andoni Zozaya

Subjects: Rings and Algebras (math.RA)

[34]  arXiv:2404.11966 [pdf, ps, other]

Title: A $δ$-first Whitehead Lemma for Jordan algebras

Authors: Arezoo Zohrabi, Pasha Zusmanovich

Comments: 8 pages; v2: added a missing case of simple Jordan algebras

Subjects: Rings and Algebras (math.RA)

[35]  arXiv:2404.12098 [pdf, ps, other]

Title: On structures of BiHom-Superdialgebras and their derivations

Authors: Nil Mansuroglu, Bouzid Mosbahi

Subjects: Rings and Algebras (math.RA)

[36]  arXiv:2404.12112 [pdf, ps, other]

Title: Generalized derivations of BiHom-supertrialgebras

Authors: Nil Mansuroglu, Bouzid Mosbahi

Subjects: Rings and Algebras (math.RA)

[37]  arXiv:2404.12116 [pdf, ps, other]

Title: Ore sets, denominator sets and the left regular left quotient ring of a ring

Authors: V. V. Bavula

Comments: 32 pages

Subjects: Rings and Algebras (math.RA)

[38]  arXiv:2404.12231 [pdf, ps, other]

Title: Projections of Hopf braces

Authors: José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez, Ana Belén Rodríguez Raposo

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

[39]  arXiv:2404.12998 [pdf, ps, other]

Title: On Commuting automorphisms of nilpotent Lie algebras

Authors: Shushma Rani, Niranjan Nehra, Rohit Garg

Subjects: Rings and Algebras (math.RA)

[40]  arXiv:2404.13251 [pdf, ps, other]

Title: Ring Elements of Stable Range One

Authors: Dinesh Khurana, T. Y. Lam

Comments: 31 pages

Subjects: Rings and Algebras (math.RA)

[41]  arXiv:2404.13383 [pdf, ps, other]

Title: Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras

Authors: Yue Li, Yanyong Hong

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

[42]  arXiv:2404.13894 [pdf, ps, other]

Title: Some new operated Lie polynomial identities and Gröbner-Shirshov bases

Authors: Huhu Zhang, Xing Gao, Tingzeng Wu, Xinyang Feng

Comments: 18 pages

Subjects: Rings and Algebras (math.RA)

[43]  arXiv:2404.14001 [pdf, ps, other]

Title: Transposed Poisson structures on quasi-filiform Lie algebras of maximum length

Authors: Kobiljon Abdurasulov, Fatanah Deraman, Azamat Saydaliyev, Siti Hasana Sapar

Subjects: Rings and Algebras (math.RA)

[44]  arXiv:2404.14005 [pdf, ps, other]

Title: Translational hulls of semigroups of endomorphisms of an algebra

Authors: Victoria Gould, Ambroise Grau, Marianne Johnson, Mark Kambites

Comments: 31 pages, 1 figure

Subjects: Rings and Algebras (math.RA)

[45]  arXiv:2404.14096 [pdf, ps, other]

Title: The coproduct for the affine Yangian and the parabolic induction for non-rectangular $W$-algebras

Authors: Mamoru Ueda

Comments: We change the definition of $\Delta^l$. arXiv admin note: text overlap with arXiv:2404.10923

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

[46]  arXiv:2404.15139 [pdf, ps, other]

Title: Ideals of étale groupoid algebras with coefficients in a sheaf with applications to topological dynamics

Authors: Gilles G. de Castro, Daniel Gonçalves, Benjamin Steinberg

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

[47]  arXiv:2404.15169 [pdf, ps, other]

Title: A Note on Centralizers and Twisted Centralizers in Clifford Algebras

Authors: E. R. Filimoshina, D. S. Shirokov

Comments: 18 pages

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

[48]  arXiv:2404.15361 [pdf, ps, other]

Title: Algebras of Interaction and Cooperation

Authors: Ulrich Faigle

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

[49]  arXiv:2404.15567 [pdf, ps, other]

Title: Cohomology of BiHom-Associative Trialgebras

Authors: Erik Mainellis, Bouzid Mosbahi, Ahmed Zahari

Comments: 16 pages

Subjects: Rings and Algebras (math.RA)

[50]  arXiv:2404.15865 [pdf, other]

Title: Characterization of vector spaces by isomorphisms

Authors: Kenji Nakahira

Subjects: Rings and Algebras (math.RA)