H-Hopf双模余代数范畴与余代数范畴

Categories of H-Hopf Bimodule Coalgebras and Categories of Coalgebras

引进H-Hopf双模余代数的概念.设Hopf代数H是余交换的,证明了H-Hopf双模余代数范畴等价于余代数范畴.

The definition of H-Hopf bimodule coalgebras is introduced. Let H be a cocommutative Hopf algebra, and the category of H-Hopf bimodule coalgebras is proved to be equivalent to the category of coalgebras.