International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 657-662
The general Ikehata theorem for -separable crossed products
Department of Mathematics, Bradley University, Peoria 61625, Illinois, USA
Received 26 March 1999
Copyright © 2000 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.
Let be a ring with the center of an automorphism group of of order for some integer the set of elements in fixed under a crossed product over where is a factor
set from to . It is shown that is an
-separable extension of and is a commutative
subring of if and only if is a Galois algebra over
with Galois group .