On Hopf DeMeyer-Kanzaki Galois extensions

George Szeto and Lianyong Xue

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-6

Abstract:

Let H be a finite-dimensional Hopf algebra over a field k , B a left H -module algebra, and H ∗ the dual Hopf algebra of H . For an H ∗ -Azumaya Galois extension B with center C , it is shown that B is an H ∗ -DeMeyer-Kanzaki Galois extension if and only if C is a maximal commutative separable subalgebra of the smash product B # H . Moreover, the characterization of a commutative Galois algebra as given by S. Ikehata (1981) is generalized.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:135967

DOI: 10.1155/S0161171203210565

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