A Maschke Type Theorem for Doi-Hopf π-modules  

作　　者：CHEN QUAN-GUO TANG JIAN-GANG 

机构地区：[1]Department of Mathematics, Yili Normal University, Yining, Xinjiang, 835000

出　　处：《Communications in Mathematical Research》2012年第4期289-299,共11页数学研究通讯（英文版）

基　　金：The NSF(10871137)of China

摘　　要：We prove a Maschke type theorem for Doi-Hopf π-modules. A sufficient condition for having a Maschke type property is that there exists a suitable total integral map for the Doi-Hopf π-modules in question. The applications of the results are considered. Finally, As an application of the existence of total integral, we prove that α∈π Ca A is a generator in the category π-Cu（H）A.We prove a Maschke type theorem for Doi-Hopf π-modules. A sufficient condition for having a Maschke type property is that there exists a suitable total integral map for the Doi-Hopf π-modules in question. The applications of the results are considered. Finally, As an application of the existence of total integral, we prove that α∈π Ca A is a generator in the category π-Cu（H）A.

关 键 词：integral Hopf π-coalgebra Hopf algebra Maschke type theorem 

分 类 号：TP311.13[自动化与计算机技术—计算机软件与理论] TS193.632[自动化与计算机技术—计算机科学与技术]