3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras

Abstract

The purpose of this paper is to study the relationships between a BiHom-Lie superalgebras and its induced 3-BiHom-Lie superalgebras. We introduce the notion of (Formula presented.) -derivation, (Formula presented.) -quasiderivation and generalized (Formula presented.) -derivation of 3-BiHom-Lie superalgebras and their relation with derivation of BiHom-Lie superalgebras. We introduce also the concepts of Rota-Baxter operators and Nijenhuis Operators of 3-BiHom-Lie superalgebras. We also explore the construction of 3-BiHom-Lie superalgebras by using Rota-Baxter of BiHom-Lie superalgebras.