A Morita context related to finite automorphism groups of rings

Miriam Cohen

Vol. 98 (1982), No. 1, 37–54

DOI: 10.2140/pjm.1982.98.37

Abstract

Let R be a semiprime ring, G a finite group of automorphisms of R and R^G the fixed ring. We investigate the associated Morita context (R^G,R,R,R^∗G), where R^∗G is the skew group ring. We then apply these results to two situations: (1) G is X-outer (2) R is |G|-torsion free.

Mathematical Subject Classification

Primary: 16A74, 16A74

Secondary: 16A72

Milestones

Received: 18 September 1980

Revised: 27 February 1981

Published: 1 January 1982