π-余模余代数与π-余模余理想  

π-Comodule coalgebra and π-comodule coideal

作　　者：陈华喜[1] 殷晓斌[2] 

机构地区：[1]蚌埠学院数学与物理系,安徽蚌埠233030 [2]安徽师范大学数学与计算机科学学院,安徽芜湖241000

出　　处：《华中师范大学学报（自然科学版）》2012年第6期645-648,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(10771183);安徽省教育厅自然科学研究重点项目(KJ2008A026;KJ2010A126)

摘　　要：引进了π-H-余模余代数、π-■-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-■-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.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.

关 键 词：π-H-余模余代数 π-H^-模代数 π-H-子余模 π-H-余模余理想 π-H-模子代数 

分 类 号：O153.3[理学—数学]