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中文摘要：
引进了π-H-余模余代数、π-H^～-模代数的定义,给出了一些相关的性质,然后证明了局部有限维的π-H-余模余代数的对偶是一个π-H^＊-模代数;接着又引进了π-H-子余模、π-H-余模余理想、π-H^～-子模以及π-H-模子代数等概念,证明了π-H-余模余理想与π-H^＊-模子代数间的对应关系.
英文摘要：
The definitions of π-H-comodule coalgebra and π-H^～-module algebra are introduced,and some of the features are illustrated.We have proved that the dual relation of locally finite dimensional π-H-comodule coalgebra is π-H＊-module algebra,and have introduced the concepts of π-H-subcomodule,π-H-comodule coideal,π-H^～-submodule and π-H-module subalgebra.We have also proved the corresponding relationship between the π-H-comodule coideal and the π-H＊-module subalgebra.
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