Generalized Derivations and Rota-Baxter Operators of $n$-ary Hom-Nambu Superalgebras
Quantum Algebra
2020-03-03 v1 Mathematical Physics
math.MP
Rings and Algebras
Abstract
The aim of this paper is to generalise the construction of -ary Hom-Lie bracket by means of an -cochain of given Hom-Lie algebra to super case inducing a -Hom-Lie superalgebras. We study the notion of generalized derivation and Rota-Baxter operators of -ary Hom-Nambu and -Hom-Lie superalgebras and their relation with generalized derivation and Rota-Baxter operators of Hom-Lie superalgebras. We also introduce the notion of -Hom-pre-Lie superalgebras which is the generalization of -Hom-pre-Lie algebras.
Keywords
Cite
@article{arxiv.2003.01080,
title = {Generalized Derivations and Rota-Baxter Operators of $n$-ary Hom-Nambu Superalgebras},
author = {Sami Mabrouk and Othmen Ncib and Sergei Silvestrov},
journal= {arXiv preprint arXiv:2003.01080},
year = {2020}
}