Abstract
Let (H, α) be a monoidal Hom-Hopf algebra and (A, β) be an (H, α)-Hom-bimodule algebra. In this article, we first introduce the notion of a twisted Hom-smash product A☆H and then find some sufficient and necessary conditions making it into a monoidal Hom-bialgebra. Furthermore, we give a Maschke-type theorem for the twisted Hom-smash product over a semisimple monoidal Hom-Hopf algebra (H, α). Finally, we form an associated Morita context [AbiH, AbiHAA☆H, A☆HAAbiH, A☆H] in the category .
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The authors sincerely thank the referee for his or her valuable suggestions and comments on this article.