On Hopf Galois Hirata extensions

Autor: George Szeto, Lianyong Xue
Jazyk: angličtina
Rok vydání: 2003
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 64, Pp 4033-4039 (2003)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171203303357
Popis: 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.
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