International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 5, Pages 315-321
doi:10.1155/S016117120100103X

On certain classes of Galois extensions of rings

Abstract

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.