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Generalized Derivations and Rota-Baxter Operators of n-ary Hom-Nambu Superalgebras
University of Gafsa, BP 2100, Gafsa, Tunisia.
University of Gafsa, BP 2100, Gafsa, Tunisia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2021 (English)In: Advances in Applied Clifford Algebras, ISSN 0188-7009, E-ISSN 1661-4909, Vol. 31, no 3, article id 32Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to generalise the construction of n-ary Hom-Lie bracket by means of an (n-2)-cochain of given Hom-Lie algebra to super case inducing n-Hom-Lie superalgebras. We study the notion of generalized derivations and Rota-Baxter operators of n-ary Hom-Nambu and n-Hom-Lie superalgebras and their relation with generalized derivations and Rota-Baxter operators of Hom-Lie superalgebras. We also introduce the notion of 3-Hom-pre-Lie superalgebras which is the generalization of 3-Hom-pre-Lie algebras. 

Place, publisher, year, edition, pages
Birkhauser , 2021. Vol. 31, no 3, article id 32
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-54092DOI: 10.1007/s00006-020-01115-2ISI: 000640787800001Scopus ID: 2-s2.0-85104602950OAI: oai:DiVA.org:mdh-54092DiVA, id: diva2:1552796
Available from: 2021-05-06 Created: 2021-05-06 Last updated: 2021-09-30Bibliographically approved

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Silvestrov, Sergei

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