International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 1, Pages 149-153

On Galois projective group rings

George Szeto1 and Linjun Ma2

1Mathematics Department, Bradley University, Peoria 61625, Illinois, USA
2Mathematics Department, Zhongshan University, Guangzhou, China

Received 19 September 1989; Revised 10 December 1989

Copyright © 1991 George Szeto and Linjun Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let A be a ring with 1, C the center of A and G an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}. Let AG be the fixed subring of A under the action of G.If A is a Galcis extension of AG with Galois group G and C is the center of the subring αAGUα then A=αAGUα and the center of AG is also C. Moreover, if αAGUα is Azumaya over C, then A is a projective group ring.