Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras

Author:

Mabrouk Sami,Ncib Othmen,Silvestrov SergeiORCID

Abstract

AbstractThe aim of this paper is to generalise the construction of n-ary Hom-Lie bracket by means of an $$(n-2)$$ ( 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.

Funder

Mälardalen University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference93 articles.

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