Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras

Abstract

The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.Comment: 13 page