设H为有限型Hopfπ-代数,A为π-H-模余代数,研究了Hopfπ-代数H上的π-H-模余代数与Hopfπ-余代数上的π-H*-余模代数之间的对偶关系,得到了C是A的π-H-模子余代数当且仅当C⊥是A*的π-H*-余模理想.
Let H be a Hopf π-algebra and A be a π-H-module coalgebra.The dual relation between a π-H-module coalgebra of H and a π-H*-comodule algebra of H* was discussed,and C was a π-H-module subcoalgebra of A if and only if C⊥ is a π-H*-comodule ideal of A*.