群缠绕模范畴的可分函子 |
| |
引用本文: | 董丽红,王 磊.群缠绕模范畴的可分函子[J].河南师范大学学报(自然科学版),2014(1):21-25. |
| |
作者姓名: | 董丽红 王 磊 |
| |
作者单位: | ;1.河南师范大学数学与信息科学学院;2.郑州科技学院基础部 |
| |
摘 要: | 设π是1个群.在Hopfπ-代数情形下,π-缠绕结构和π-缠绕模的概念被引入,并得到了π-缠绕模范畴上的忘却函子可分的充要条件,其中忘却函子忘却的是π-模作用.最后,作为应用证明了π-缠绕模的Maschke-type定理.
|
关 键 词: | Hopfπ-代数 π-缠绕结构 π-缠绕模 正规余积分 |
Separable Functors of the Category for Group-entwined Modules |
| |
Institution: | ,College of Mathematics and Information Science,Henan Normal University,Department of Basic,University for Science and Technology Zhengzhou |
| |
Abstract: | Letπbe a group.In this note,we introduce the definition ofπ-entwining structures andπ-entwined modules over Hopfπ-algebras,and obtain necessary and sufficient conditions for the functor on the category ofπ-entwined modules that forgets theπ-A-action to be separable.As an application,we prove the Maschke-type theorem forπ-entwined modules. |
| |
Keywords: | Hopfπ-algebra π-entwining structure π-entwined module normalized cointegral |
本文献已被 CNKI 等数据库收录! |