Some structures of Hom-Poisson color algebras

Abstract

In many previous papers, the authors used an algebra endomorphism to twist the original algebraic structures in order to produce the corresponding Hom-algebraic structures. In this work, we use a bijective linear map, an element of centroid, an averaging operator, a Rota-Baxter operator or a multiplier to produce a Hom-Poisson color algebra from a given one.