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Classification, Centroids and Derivations of Two-Dimensional Hom-Leibniz Algebras
Jouf University, Saudi Arabia; University of Sfax, Tunisia.
Université de Gabès, Tunisia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2023 (English)In: Non-commutative and Non-associative Algebra and Analysis Structures: SPAS 2019, Västerås, Sweden, September 30 - October 2 / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Springer , 2023, p. 33-60Conference paper, Published paper (Refereed)
Abstract [en]

Several recent results concerning Hom-Leibniz algebra are reviewed, the notion of symmetric Hom-Leibniz superalgebra is introduced and some properties are obtained. Classification of 2-dimensional Hom-Leibniz algebras is provided. Centroids and derivations of multiplicative Hom-Leibniz algebras are considered including the detailed study of 2-dimensional Hom-Leibniz algebras.
Place, publisher, year, edition, pages
Springer , 2023. p. 33-60
Series
Springer Proceedings in Mathematics and Statistics, ISSN 21941009 ; 426
Keywords [en]
Hom-Lie superalgebra, Hom-Leibniz superalgebra, Centroid, Derivation
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-64617DOI: 10.1007/978-3-031-32009-5_3Scopus ID: 2-s2.0-85174444980ISBN: 9783031320088 (print)OAI: oai:DiVA.org:mdh-64617DiVA, id: diva2:1807518
Conference
International Conference on Stochastic Processes and Algebraic Structures—From Theory Towards Applications, SPAS 2019, Västerås, Sweden, 30 September - 2 October 2019
Available from: 2023-10-26 Created: 2023-10-26 Last updated: 2023-12-28Bibliographically approved

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