Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras

Abstract

In this paper, we mainly study super-bimodules on Bihom-Jordan superalgebras and present some interesting constructions from the perspective of super-bimodules. Meanwhile, we give abelian extension through super-bimodules. In addition, we give the representations, $ \mathcal{O} $-operators and Rota–Baxter operators of Bihom-Jordan superalgebras. Specially, using $ \mathcal{O} $-operators, we characterize Bihom-pre-Jordan superalgebras.

Keywords

• bihom-jordan superalgebra
• super-bimodule
• representation
• $ \mathcal{o} $-operator
• bihom-pre-jordan superalgebra