Bihom-Nijienhuis operators andT∗-extensions ofBihom-Lie superalgebras

Abstract

The purpose of this article is to study Bihom-Nijienhuis operators andT∗-extensions ofBihom-Lie superalgebras. We show that the deformation generated by a Bihom-Nijienhuisoperator is trivial. Moreover, we introduce the definition ofT∗-extensions of Bihom-Liesuperalgebras and show thatT∗-extensions preserve many properties such as nilpotency,solvability and decomposition in some sense. In particular, we discuss the equivalence ofT∗-extensions.