On characterizations of a center Galois extension

Let B be a ring with 1,  C the center of B,  G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, it is shown that B is a center Galois extension of BG (that is, C is a Galois algebra over CG with Galois group G|C≅G) if and only if the ideal of B...

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Bibliographic Details

Published in:	International Journal of Mathematics and Mathematical Sciences
Main Authors:	George Szeto, Lianyong Xue
Format:	Article
Language:	English
Published:	Wiley 2000-01-01
Subjects:	Galois extensions center Galois extensions central extensions Galois central extensions Azumaya algebras separable extensions H-separable extensions.
Online Access:	http://dx.doi.org/10.1155/S0161171200003562