On the derivations of BiHom-Poisson superalgebras

Abstract

In this paper, our objective is to study numerous fundamental properties of the algebra of generalized derivations on a multiplicative BiHom-Poisson superalgebra [Formula: see text]. First, we present a description of some generalized derivations, central derivations, quasiderivations, centroid and quasicentroid of the multiplicative BiHom-Poisson superalgebra [Formula: see text] More specifically, we obtain some important connections and properties of these derivations. We prove that in a larger multiplicative BiHom-Poisson superalgebra, [Formula: see text] can be embedded as a derivations algebra. Finally, we show that when [Formula: see text] is centerless, the derivations of the larger multiplicative BiHom-Poisson superalgebras have direct sum decompositions.