Let L and A be Hopf algebras on field k with antipodes s_L and s_A, B being a right A-comodule algebra, C a right A-module coalgebra. The defination of (A, B)-Hopf module and the fundamental structure theorem on (A, B)-Hopf module in L_LYD were given.

 
  • 设L是域k上的Hopf代数;其对极为sL; A是-Hopf代数;其对极为sA;B是右A余模代数;C是右A模余代数;给出LLYD中(A;B)Hopf模的定义以及LLYD中(A;B)-Hopf模的基本结构定理;并讨论了其对偶情况.
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