摘要
In this paper we consider the isomorphic classes of H-Galois extensions with the normal basis property over a fixed commutative ring B for a finite Hopf algebra H.The result is that when H is cocommutative,then the above isomorphic classes and the 2-nd cohomology group H^2(L~*,U) are isomorphic as groups under the product defined in this paper,where L=BH,L~*=Hom_B(L,B).
In this paper we consider the isomorphic classes of H-Galois extensions with the normal basis property over a fixed commutative ring B for a finite Hopf algebra H.The result is that when H is cocommutative,then the above isomorphic classes and the 2-nd cohomology group H^2(L~*,U) are isomorphic as groups under the product defined in this paper,where L=BH,L~*=Hom_B(L,B).
基金
Supported by the NNSF of China
