A Maschke type theorem for weak group entwined modules and applications

被引：6
|
作者：
Wang, Dingguo [1 ]
Chen, Quanguo [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[2] Yili Normal Univ Yining, Sch Math & Stat, Yining 835000, Xinjiang, Peoples R China
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 204卷 / 01期
基金：
中国国家自然科学基金;
关键词：
DOI-HOPF MODULES; SEPARABLE FUNCTORS; GROUP-COALGEBRAS; GALOIS EXTENSIONS; ALGEBRAS; SEMISIMPLE;
D O I：
10.1007/s11856-014-1113-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let pi be a discrete group. Given a weak pi-entwining structure and alpha a pi, we give the necessary and sufficient conditions for the forgetful functor from the category of right -modules to the category of right -modules to be separable. This leads to a generalized notion of integrals. The results are applied to weak Doi-Hopf pi-modules and to weak entwining modules.
引用
收藏
页码：329 / 358
页数：30
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