Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras-Reference-Cited by-同舟云学术

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

Published:2021-04-16 Issue:3 Volume:31 Page:
ISSN:0188-7009
Container-title:Advances in Applied Clifford Algebras
language:en
Short-container-title:Adv. Appl. Clifford Algebras

Author:

Mabrouk Sami,Ncib Othmen,Silvestrov Sergei^ORCID

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

Link

https://link.springer.com/content/pdf/10.1007/s00006-020-01115-2.pdf

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