Matching Hom-Setting of Rota-Baxter algebras, dendriform algebras and pre-Lie algebras

Abstract

In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras and matching (pre)Lie algebras. Moreover, we study the properties and relationships between categories of these matching Hom-algebraic structures.