关于Hopf π-余模的对偶  

The Duality between Hopf π-Modules and π-Comodules

作　　者：温慕江[1] 李金其[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《广西师范学院学报（自然科学版）》2005年第2期4-9,共6页Journal of Guangxi Teachers Education University(Natural Science Edition)

摘　　要：主要研究Hopfπ-模与Hopfπ-余模间的对偶问题.首先分别构造并证明了Hopfπ-余代数H的对偶H°是Hopfπ-代数以及Hopfπ-余模M的对偶M°是Hopfπ-模;然后讨论它们之间的密切相关性质;最后,构造并证明了Hopfπ-余模同态f的对偶f°是Hopfπ-模同态.In this paper, we give the duality properties between Hopf π-Modules and Hopf π-comodules. The first main result is the existence of the Hopf π-modules dual to Hopf π-comodules. To prove this result, we construct a Hopf π-algebras H° dual to Hopf π-coalgebras H. Then, we discuss some duality properties of Hopf π-comodules. Finally, we construct and prove that f° is a Hopf π-module morphism dual to Hopf π-comodule morphism f.

关 键 词：HOPF Π-余代数 HOPF Π-余模 Hopf开代数 HOPF Π-模 π-理想 

分 类 号：O153.3[理学—数学]