International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 5, Pages 315-321

On certain classes of Galois extensions of rings

George Szeto and Lianyong Xue

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

Received 26 June 1998

Copyright © 2001 George Szeto and Lianyong Xue. 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.


Relations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP-Galois extensions), (2) faithfully Galois extensions, and (3) H-separable Galois extensions. Moreover, it is shown that the intersection of the class of CP-Galois extensions and the class of faithfully Galois extensions is the class of Azumaya Galois extensions.