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

页码：329 / 358

页数：30

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