Abstract: In this paper,(A,SA) and(H,SH) both are Hopf algebras on a field k.A is also an H-module algebra.We prove:If there is an algebra and H-comodule map i:H→ A such that iSH=SAi,we can get a subalgebra B of A.Then we define an algebra structure,a coalgebra structure and an antipode on the k-space such that it becomes an Hopf algebra which is isomorphic with A as Hopf algebras.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: article
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