关于π-余模子余代数的一个注记

A note on π-comodule subcoalgebra

引入了π-H-余模余代数、π-H-模代数、π-H-余模子余代数及π-H-模理想的定义,给出局部有限维的π-H-余模余代数与π-H*-模代数间的对偶关系,证明了Hopfπ-余代数H上的π-H-余模余代数C的一簇子空间J成为π-H-余模子余代数的充要条件。

In this article, the definitions of π-H-comodule coalgebra, π-H-module algebra, π-H-comodule subcoalgebra and π-H-module ideal are introduced, then the dual relation of locally finite dimensional π-H-comodule coalgebra and π-H＊-module algebra is provided; subsequently, that a group of subdivided space J from π-comodule coalgebra C on the Hopf π-H-comodule coalgebra becomes the necessary and sufficient conditions for π-H-comodule subcoalgebra is testified as well.