Rings and Algebras

Authors and titles for math.RA in Oct 2020

[1]  arXiv:2010.00277 [pdf, ps, other]

Title: Jordan Algebras of Symmetric Matrices

Authors: Arthur Bik, Henrik Eisenmann, Bernd Sturmfels

Comments: 16 pages

Journal-ref: Le Matematiche 76 (2021), no 2, pp. 337-353

Subjects: Rings and Algebras (math.RA); Algebraic Geometry (math.AG)

[2]  arXiv:2010.00335 [pdf, ps, other]

Title: Cohomology and Deformations of left-symmetric Rinehart Algebras

Authors: A. Ben Hassine, T. Chtioui, M. Elhamdadi, S. Mabrouk

Comments: arXiv admin note: text overlap with arXiv:1710.03749, arXiv:1312.6526, arXiv:1808.01909 by other authors

Journal-ref: Communications in Mathematics, April 22, 2024, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") cm:12656

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

[3]  arXiv:2010.00443 [pdf, ps, other]

Title: $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras

Authors: Bruno Leonardo Macedo Ferreira, Ivan Kaygorodov, Viktor Lopatkin

Subjects: Rings and Algebras (math.RA)

[4]  arXiv:2010.00634 [pdf, ps, other]

Title: Relations between ranks of matrix polynomials

Authors: Vasile Pop

Subjects: Rings and Algebras (math.RA)

[5]  arXiv:2010.00927 [pdf, ps, other]

Title: Lie algebroids. Lie-Rinehart algebras

Authors: Elisabeth Remm

Comments: In french

Subjects: Rings and Algebras (math.RA)

[6]  arXiv:2010.00945 [pdf, ps, other]

Title: Elementary characters on semigroups: the rational case

Authors: Adrián Esparza-Amador, Peter Makienko

Comments: no figures, 17 pages

Subjects: Rings and Algebras (math.RA); Number Theory (math.NT)

[7]  arXiv:2010.01156 [pdf, ps, other]

Title: Cohomology and deformations of twisted Rota-Baxter operators and NS-algebras

Authors: Apurba Das

Comments: 20

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

[8]  arXiv:2010.01188 [pdf, ps, other]

Title: On commuting probabilities in finite groups and rings

Authors: Martin Juráš, Mihail Ursul

Comments: 9 pages

Subjects: Rings and Algebras (math.RA)

[9]  arXiv:2010.01237 [pdf, ps, other]

Title: Structure and cohomology of 3-Lie-Rinehart superalgebras

Authors: Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk, Sergei Silvestrov

Subjects: Rings and Algebras (math.RA); K-Theory and Homology (math.KT); Quantum Algebra (math.QA)

[10]  arXiv:2010.01778 [pdf, ps, other]

Title: Non-degenerate Killing forms on Hom-Lie superalgebras

Authors: Abdoreza Armakan, Mohammad Reza Farhangdoost, Sergei Silvestrov

Comments: typos corrected, references added

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

[11]  arXiv:2010.01904 [pdf, ps, other]

Title: Almost inner derivations of some nilpotent Leibniz algebras

Authors: J.K.Adashev, T.K.Kurbanbaev

Comments: This paper accepted to Journal of Siberian Federal University. Mathematics & Physics, 11 pages

Subjects: Rings and Algebras (math.RA)

[12]  arXiv:2010.01945 [pdf, other]

Title: Factorization of Dual Quaternion Polynomials Without Study's Condition

Authors: Johannes Siegele, Martin Pfurner, Hans-Peter Schröcker

Subjects: Rings and Algebras (math.RA); Symbolic Computation (cs.SC)

[13]  arXiv:2010.02268 [pdf, ps, other]

Title: Zeta functions of $\mathbb{F}_p$-Lie algebras and finite $p$-groups

Authors: Seungjai Lee

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

[14]  arXiv:2010.02836 [pdf, ps, other]

Title: Group-like small cancellation theory for rings

Authors: A. Atkarskaya (Department of Mathematics, The Hebrew University of Jerusalem, Israel), A. Kanel-Belov (Department of Mathematics, Bar-Ilan University, Israel and College of Mathematics and Statistics, Shenzhen University, China), E. Plotkin (Department of Mathematics, Bar-Ilan University, Israel), E. Rips (Department of Mathematics, The Hebrew University of Jerusalem, Israel)

Comments: An affiliation of the second author is updated

Journal-ref: International Journal of Algebra and Computation, 33:07 (2023).1269-1487

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

[15]  arXiv:2010.03054 [pdf, ps, other]

Title: On the structure of nearly epsilon and epsilon-strongly graded rings

Authors: Luis Martínez, Héctor Pinedo, Yerly Soler

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

[16]  arXiv:2010.03862 [pdf, ps, other]

Title: New approaches for solving linear confluent Vandermonde systems and inverse of their corresponding matrices via Taylor's expansion

Authors: M. Moucouf, S. Zriaa

Comments: 11 pages

Subjects: Rings and Algebras (math.RA)

[17]  arXiv:2010.03890 [pdf, other]

Title: On the boundedness of infinite matrix products with alternating factors from two sets of matrices

Authors: Victor Kozyakin

Comments: 14 pages, 1 figure, 11 bibliography items, corrected grammar and style

Subjects: Rings and Algebras (math.RA)

[18]  arXiv:2010.03992 [pdf, ps, other]

Title: Small cancelation rings

Authors: A. Atkarskaya (Department of Mathematics, The Hebrew University of Jerusalem, Israel), A. Kanel-Belov (Department of Mathematics, Bar-Ilan University, Israel), E. Plotkin (Department of Mathematics, Bar-Ilan University, Israel), E. Rips (Department of Mathematics, The Hebrew University of Jerusalem, Israel)

Comments: arXiv admin note: substantial text overlap with arXiv:2010.02836

Journal-ref: Mathematics Research Reports, 2 (2021), 1-14

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

[19]  arXiv:2010.04392 [pdf, other]

Title: Classification of congruences of twisted partition monoids

Authors: James East, Nik Ruskuc

Comments: 50 pages, 7 figures, 2 tables, to appear in Adv Math

Subjects: Rings and Algebras (math.RA)

[20]  arXiv:2010.04679 [pdf, ps, other]

Title: A graph-theoretic approach to a conjecture of Dixon and Pressman

Authors: Matthew Brassil, Zinovy Reichstein

Comments: 32 pages

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

[21]  arXiv:2010.04881 [pdf, ps, other]

Title: Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and O-operators

Authors: Shuai Hou, Yunhe Sheng, Rong Tang

Comments: 19 pages, comments are welcome

Journal-ref: J. Geom. Phys. 163 (2021.05), 104148, 1-15

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

[22]  arXiv:2010.05067 [pdf, ps, other]

Title: Hopf Forms and Hopf-Galois Theory

Authors: Timothy Kohl, Robert Underwood

Subjects: Rings and Algebras (math.RA)

[23]  arXiv:2010.05676 [pdf, ps, other]

Title: The Nakayama functor and its completion for Gorenstein algebras

Authors: Srikanth B. Iyengar, Henning Krause

Comments: 36 pages; there are significant changes from first version. This manuscript will appear in the Bulletin Soc. Math. France

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

[24]  arXiv:2010.05685 [pdf, ps, other]

Title: Algebras of quotients and Martindale-like quotients of Leibniz algebras

Authors: Chenrui Yao, Yao Ma, Liming Tang, Liangyun Chen

Comments: 23pages. arXiv admin note: substantial text overlap with arXiv:2007.15995; text overlap with arXiv:math/0509510 by other authors

Subjects: Rings and Algebras (math.RA)

[25]  arXiv:2010.05751 [pdf, other]

Title: An Algorithm for the Factorization of Split Quaternion Polynomials

Authors: Daniel F. Scharler, Hans-Peter Schröcker

Journal-ref: Scharler, D.F., Schr\"ocker, HP. An Algorithm for the Factorization of Split Quaternion Polynomials. Adv. Appl. Clifford Algebras 31, 29 (2021)

Subjects: Rings and Algebras (math.RA); Symbolic Computation (cs.SC); Metric Geometry (math.MG)

[26]  arXiv:2010.06057 [pdf, ps, other]

Title: Hom-Lie algebra structures on quadratic Lie algebras and twisted invariant Killing-like forms defined on them

Authors: R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela

Subjects: Rings and Algebras (math.RA)

[27]  arXiv:2010.06160 [pdf, ps, other]

Title: Color Hom-Lie algebras, color Hom-Leibniz algebras and color omni-Hom-Lie algebras

Authors: Abdoreza Armakan, Sergei Silvestrov

Comments: arXiv admin note: text overlap with arXiv:2010.01778

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

[28]  arXiv:2010.06817 [pdf, ps, other]

Title: Quotient rings of integers from a metric point of view

Authors: Ricardo Gallego Torromé

Comments: 10 pages; minor changes

Subjects: Rings and Algebras (math.RA); Metric Geometry (math.MG); Number Theory (math.NT)

[29]  arXiv:2010.06872 [pdf, ps, other]

Title: Note on Invariance and Finiteness for the Exponent of Hopf Algebras

Authors: Kangqiao Li

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

[30]  arXiv:2010.06953 [pdf, ps, other]

Title: Identities and bases in the hypoplactic monoid

Authors: Alan J. Cain, António Malheiro, Duarte Ribeiro

Comments: 19 pages

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

[31]  arXiv:2010.07957 [pdf, ps, other]

Title: Nilpotent Decomposition in Integral Group Rings

Authors: Eric Jespers, Wei-Liang Sun

Comments: Postprint version. In the second paragraph of Section 6, the statement "U(G)/pU(G) is a torsion group" is corrected by "U(G)/pU(G) is generated by torsion images of unipotents." Some minor typos are fixed

Journal-ref: Journal of Algebra, volume 575, 2021, pages 127-158

Subjects: Rings and Algebras (math.RA)

[32]  arXiv:2010.08343 [pdf, ps, other]

Title: Modules with Non-Cyclic Socle and the Extension Property

Authors: Ali Assem Mahmoud

Comments: MSc thesis: Cairo University, Egypt

Subjects: Rings and Algebras (math.RA)

[33]  arXiv:2010.08345 [pdf, ps, other]

Title: Some algebraic results concerning linear recurrence sequences

Authors: Mohammed Mouçouf

Comments: 27 pages, some notations changed, results added and others improved, references added

Subjects: Rings and Algebras (math.RA)

[34]  arXiv:2010.08913 [pdf, ps, other]

Title: Spectral properties of cBCK-algebras

Authors: C. Matthew Evans

Comments: Final version, accepted for publication

Subjects: Rings and Algebras (math.RA); General Topology (math.GN)

[35]  arXiv:2010.08931 [pdf, ps, other]

Title: Biordered Sets of Regular Rings

Authors: James Alexander, E. Krishnan

Subjects: Rings and Algebras (math.RA)

[36]  arXiv:2010.09146 [pdf, ps, other]

Title: On graded division rings

Authors: Daniel E. N. Kawai, Javier Sánchez

Comments: Some misprints and gaps have been corrected

Subjects: Rings and Algebras (math.RA)

[37]  arXiv:2010.09148 [pdf, ps, other]

Title: On $(λ,μ,γ)$-derivations of BiHom-Lie algebras

Authors: Nejib Saadaoui, Sergei Silvestrov

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

[38]  arXiv:2010.09220 [pdf, ps, other]

Title: Locally-zero Groupoids and the Center of Bin(X)

Authors: Hiba F. Fayoumi

Comments: 6 pages; this http URL

Journal-ref: Communications of the Korean Mathematical Society 26 (2011), No. 2, pp. 163-168

Subjects: Rings and Algebras (math.RA)

[39]  arXiv:2010.09229 [pdf, other]

Title: Groupoid Factorizations in the Semigroup of Binary Systems

Authors: Hiba F. Fayoumi

Comments: 28 pages; to appear in Scientiae Mathematicae Japonicae

Subjects: Rings and Algebras (math.RA)

[40]  arXiv:2010.09288 [pdf, ps, other]

Title: Properties of congruences of twisted partition monoids and their lattices

Authors: James East, Nik Ruskuc

Comments: 41 pages, 8 figures, 4 tables, to appear in the J. London Math. Soc

Subjects: Rings and Algebras (math.RA)

[41]  arXiv:2010.09581 [pdf, ps, other]

Title: Characterizations of weighted (b,c) inverse

Authors: Bibekananda Sitha, Jajati Keshari Sahoo, Ratikanta Behera

Comments: 19

Subjects: Rings and Algebras (math.RA); Numerical Analysis (math.NA)

[42]  arXiv:2010.10091 [pdf, ps, other]

Title: Quadratic algebras associated with exterior 3-forms

Authors: Michel Dubois-Violette, Blas Torrecillas

Comments: 37 pages. This article replaces the previous version. Two sections have been added and the previous version has been enhanced with more references. To appear in Journal of Noncommutative Geometry

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

[43]  arXiv:2010.11873 [pdf, ps, other]

Title: An explicit expression for the minimal polynomial of the Kronecker product of matrices. Explicit formulas for matrix logarithm and matrix exponential

Authors: Mohammed Mouçouf

Comments: 19 pages; references added; results added; examples added

Subjects: Rings and Algebras (math.RA)

[44]  arXiv:2010.12172 [pdf, other]

Title: Growth of nonsymmetric operads

Authors: Zihao Qi, Yongjun Xu, James J. Zhang, Xiangui Zhao

Comments: 38 pages, 10 figures. The known typos have been corrected. A detailed proof to Lemma 7.2 has been added. The referee's comments have been incorporated

Journal-ref: Indiana University Mathematics Journal, 72(2) (2023) 651-697

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

[45]  arXiv:2010.12254 [pdf, ps, other]

Title: On the subalgebra lattice of a Leibniz algebra

Authors: Salvatore Siciliano, David A. Towers

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

[46]  arXiv:2010.12551 [pdf, ps, other]

Title: Some Explicit Formulas for Matrix Exponential, Matrix Logarithm, the $n$th Power of Matrices and their Drazin Inverses

Authors: Mohammed Mouçouf, Said Zriaa

Comments: 23 pages; the abstract is changed; corrected typos; some examples are added; some references are omitted and others are added or modified; some remarks are omitted

Subjects: Rings and Algebras (math.RA)

[47]  arXiv:2010.12936 [pdf, ps, other]

Title: Unary and binary Leibniz algebras

Authors: N.A. Ismailov, A.S. Dzhumadil'daev

Subjects: Rings and Algebras (math.RA)

[48]  arXiv:2010.13093 [pdf, ps, other]

Title: Quantum Projective Planes Finite over their Centers

Authors: Ayako Itaba, Izuru Mori

Comments: 13 pages

Journal-ref: Canad. Math. Bull. First View, 1-15 (2022)

Subjects: Rings and Algebras (math.RA)

[49]  arXiv:2010.13226 [pdf, ps, other]

Title: Hom-Jordan-Malcev-Poisson algebras

Authors: Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf

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

[50]  arXiv:2010.13239 [pdf, ps, other]

Title: Galois Theory for Inverse Semigroup Orthogonal Actions

Authors: Wesley G. Lautenschlaeger, Thaísa Tamusiunas

Subjects: Rings and Algebras (math.RA)