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On Hopf DeMeyer-Kanzaki Galois extensions

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  • George Szeto
  • Lianyong Xue

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.

Suggested Citation

  • George Szeto & Lianyong Xue, 2003. "On Hopf DeMeyer-Kanzaki Galois extensions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:135967
    DOI: 10.1155/S0161171203210565
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