International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 26, Pages 1627-1632
On Hopf DeMeyer-Kanzaki Galois extensions
Department of Mathematics, Bradley University, Peoria 61625, IL, USA
Received 15 October 2002
Copyright © 2003 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 finite-dimensional Hopf algebra over a field , a left -module algebra, and the dual Hopf algebra of . For an -Azumaya Galois extension with center , it is shown that is an -DeMeyer-Kanzaki Galois extension if
and only if is a maximal commutative separable subalgebra of
the smash product . Moreover, the characterization of a commutative Galois algebra as given by S. Ikehata (1981) is generalized.