Abstract:

Let L be a cotriangular Hopf algebra. By using the definition of Hom-Hopf algebras in LM, the theorem that the dual of a Hom-Hopf algebra in LM is also a Hom-Hopf algebra is proved. Furthermore, the coinvariant subspace of a Hom-Hopf module is defined and the fundamental theorem of Hom-Hopf module in LM is obtained.

Key words:  Hom-Hopf algebras; Hom-Hopf modules; category of comodules