PORTUGALIAE MATHEMATICA Vol. 54, No. 4, pp. 399405 (1997) 

On $H$separable and Galois Extensions of RingsGeorge SzetoMathematics Department, Bradley University,Peoria, Illinois 61625  U.S.A. Abstract: Let $S$ be a ring with $1$, $G$ a finite automorphism group of $S$ of order $n$, and $S^{*}G$ the skew group ring of $G$ over $S$. Assume $n$ is a unit in $S$. If $S$ is a $G$Galois and an $H$separable extension of $S^{G}$, then $S^{*}G$ is an Azumaya algebra if and only if $S$ is Azumaya. Moreover, the structure theorem for a central Galois algebra of F.R. DeMeyer is generalized to a $G$Galois extension with an inner Galois group. Keywords: Galois extensions of rings; $H$separable extensions; Azumaya algebras; skew group rings. Classification (MSC2000): 16S30, 16W20 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1997 Sociedade Portuguesa de Matemática
