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Reference for a Maschke lemma for crossed products

Theorem 7.5.6(iii) of the book Noncommutative Noetherian Rings by J.C.McConnell and J.C.Robson states the following: Let $R$ be a ring, $G$ a finite group with $|G|$ a unit in $R$, and $S = R \ast G$ …
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