A Morita context related to finite groups acting partially on a ring

Jesus Avila Guzman, Joao Lazzarin

Abstract


In this paper we consider partial actions of groups on rings, partial skew group rings and partial fixed rings. We study a Morita context associated to these rings, \(\alpha\)-partial Galois extensions and related aspects. Finally, we establish conditions to obtain a Morita equivalence between \(R^{\alpha}\) and \(R\star_{\alpha}G\).


Keywords


partial action, skew group ring, fixed ring, Morita context, Morita equivalence, semiprime ring

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