关于π-余模子余代数的一个注记  

A note on π-comodule subcoalgebra

作　　者：陈华喜 鲁琦 CHEN Hua-xi;LU Qi(Science College,Bengbu University,Bengbu 233030,China)

机构地区：[1]蚌埠学院理学院

出　　处：《佛山科学技术学院学报（自然科学版）》2018年第3期1-4,共4页Journal of Foshan University(Natural Science Edition)

基　　金：安徽省教育厅重点研究项目(KJ2016A545);蚌埠学院自然科学基金重点项目(2017ZR08zd)

摘　　要：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.

关 键 词：π-H-余模余代数 π-H-模代数 π-H-余模子余代数 π-H-模理想 

分 类 号：O153.3[理学—数学]