JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 3, Pages 491 - 501
(December 2005)
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ON CENTER HOPF GALOIS EXTENSIONS
George Szeto (U. S. A.) and Lianyong Xue (U. S. A.)
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Abstract: Let H be a finite dimensional Hopf algebra over a field k, H* be the dual Hopf algebra of H, and B be a left H-module algebra with center C. Then B is called a right center H*-Galois extension of BH if C is a right H*-Galois and separable extension of CH. Such a B is characterized in terms of the smash product B # H and some properties of B # H are obtained. |
Keywords and phrases: Hopf Galois extensions, center Galois extensions, center Hopf Galois extensions, smash products, Hirata separable extensions. |
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