Group entwining structures and group coalgebra Galois extensions

被引：39
作者：
Wang, SH [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 09期
基金：
美国国家科学基金会;
关键词：
group entwining; Doi-Hopf group module; group coalgebra Galois extension;
D O I：
10.1081/AGB-120039403
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notions of group coalgebra Galois extension and group entwining structure are defined. It is proved that any group coalgebra Galois extension induces a unique group-entwining map psi = {psi(alpha,beta)}(alpha,betais an element ofpi) compatible with the right group coaction, generalizing the recent work of Brzezinski and Hajac [Brzezinski, T., Hajac, P. M. (1999). Coalgebra extensions and algebra coextensions of Galois type. Comm. Algebra 27:1347-1368].
引用
收藏
页码：3437 / 3457
页数：21
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