© Hindawi Publishing Corp. ON CERTAIN CLASSES OF GALOIS EXTENSIONS OF RINGS

Abstract. Relations between the following classes of Galois extensions are given: (1) cen-trally 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. 2000 Mathematics Subject Classification. Primary 16S30, 16W20