Hom-Hopf Algebras Arising From (Co)-Braided Hom-Hopf Algebras

摘要

Hom-structures (Lie algbras, bialgebras, Hopf modules) have been payed more and more attention recently. In this paper, we first introduce the notions of Hom-skew pairings, Hom-comodule coalgebras and Hom-module coalgebras. Then we give the examples arising from (co)braided Hom-Hopf algebras. Next we give the sufficient and necessary conditions for it to be a Hom-Hopf agebra and discuss the dual case.