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A Maschke-type theorem for smash products and a Morita context over Hopf algebroids. (English) Zbl 1349.16045

Summary: In this paper, we consider the smash product algebras over Hopf algebroids. By integral theory for Hopf algebroids, we obtain a Maschke-type theorem for smash products and construct a Morita context over Hopf algebroids, which generalizes the corresponding result in literature. As an application, we obtain the Maschke-type theorem for comodule algebras over Hopf algebroids.

MSC:

16T05 Hopf algebras and their applications
16T15 Coalgebras and comodules; corings
16S40 Smash products of general Hopf actions
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