International Journal of Mathematics and Mathematical Sciences (Jan 2001)

On certain classes of Galois extensions of rings

  • George Szeto,
  • Lianyong Xue

DOI
https://doi.org/10.1155/S016117120100103X
Journal volume & issue
Vol. 25, no. 5
pp. 315 – 321

Abstract

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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.