Abstract
Let H be a weak Hopf π-coalgebra and let A be a weak right π-H-comodule algebra with a total integral ϕ. This paper is mainly devoted to a Maschke type theorem for (H,A)-weak relative Hopf π-modules. As an application, we obtain a characterization for an (H,A)-weak Hopf π-module to be projective as an A-module.
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