Hopf Algebra Coaction and Its Application to Group-Graded Rings
Let H be a Hopf algebra, A a right H-comodule algebra and A#H * a right smash product. Chen and Cai give a Morita context connection between A coH and A#H *rat under the assumption that ∫ H* r = ∫ H* l ≠ 0. In this paper we form a Morita context connection between A coH and A#H *rat under the condition ∫ H* l ≠ 0. We apply the results to G-graded algebras and give a Maschke type theorem for G-graded algebras.
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