International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 64, Pages 4033-4039
doi:10.1155/S0161171203303357
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.