International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 938514 | https://doi.org/10.1155/S0161171203303357

George Szeto, Lianyong Xue, "On Hopf Galois Hirata extensions", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 938514, 7 pages, 2003. https://doi.org/10.1155/S0161171203303357

On Hopf Galois Hirata extensions

Received17 Mar 2003

Abstract

Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB(BH)#H. A sufficient condition is also given for B to be an H*-Galois Azumaya extension of BH.

Copyright © 2003 Hindawi Publishing Corporation. 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.


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