四川师范大学学报（自然科学版）2012，Vol.35Issue(5)：615-617,3.DOI:10.3969/j.issn.1001-8395.2012.05.009
弱Doi - Hopf群模的Maschke型定理
A Maschke-type Theorem for Weak Doi-Hopf Group Modules
摘要
Abstract
Let π be a group. We shall discuss the reducibility or semisimpleness of weak Doi-Hopf π-modules. Given a weak Doi-Hopf π-datum (H,A, C) , we shall apply the forgetful functor sending the objects in the category π-c UA of weak Doi-Hopf π-modules in-to the category MA of right A-modules, and look for a deformation of a splitting map of a monomorphism in the category MA so that lead to the integral for weak Doi-Hopf π-datum (H,A,C). With the help of the integral introduced, we prove the Maschke-type theorem for weak Doi-Hopf π-modules, which generalizes the results of some literatures.关键词
弱Hopf π-余代数/Maschke型定理/弱 Doi - Hopf π -模Key words
weak Hopf π-coalgebra/ maschke-type theorem/ weak Doi-Hopf π-modules分类
数理科学引用本文复制引用
陈全国,王栓宏..弱Doi - Hopf群模的Maschke型定理[J].四川师范大学学报（自然科学版）,2012,35(5):615-617,3.基金项目
国家自然科学基金(10871042)资助项目 （10871042）
