International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 91-95
doi:10.1155/S0161171299220911

On Azumaya Galois extensions and skew group rings

George Szeto

Department of Mathematics, Bradley University, Peoria 61625, Illinois, USA

Abstract

Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois group.