Abstract
Let H be a Hopf algebra, A a right H-comodule algebra and A#H * a right smash product. Chen and Cai[5] give a Morita context connection between A coH and A#H *rat under the assumption that ∫ r H* = ∫ l H* ≠ 0. In this paper we form a Morita context connection between A coH and A#H *rat under the condition ∫ l H* ≠ 0. We apply the results to G-graded algebras and give a Maschke type theorem for G-graded algebras.
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© 2001 Springer Science+Business Media New York
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Liu, GL. (2001). Hopf Algebra Coaction and Its Application to Group-Graded Rings. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_15
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DOI: https://doi.org/10.1007/978-1-4612-0181-6_15
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6650-1
Online ISBN: 978-1-4612-0181-6
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