弱T-代数上Caenepeel-Militaru-Zhu定理(英文)  

Caenepeel-Militaru-Zhu Theorem Over Weak T-algebras

作　　者：方小利[1,2] 刘玲[3] 

机构地区：[1]绍兴文理学院数理信息学院,绍兴浙江312000 [2]东南大学数学系,南京江苏210096 [3]浙江师范大学数理与信息工程学院,金华浙江321004

出　　处：《数学进展》2013年第1期47-60,共14页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11101288);the Natural Science Foundation of Zhejiang Province(No. Y6110323,No.Y12A010035);Jiangsu Planned Projects for Postdoctoral Research Funds(No.0902081C);Zhejiang Provincial Education Department Project(No.Y200907995);Project of Shaoxing University(No. 09LG1001)

摘　　要：本文介绍了弱T-代数的概念并讨论了它的一些性质,同时给出了弱Yetter-Drinfeld群模的一个充分必要条件,并且证明了弱Yetter-Drinfeld群模事实上是一种弱Doi-Hopf群模.这些结果推广了由Caenepeel-Militaru-Zhu(1997)给出的定理.In this article, we introduce the notion of a weak T-algebra and discuss its properties. We give a necessary and sufficient condition concerning weak Yetter-Drinfeld group modules, and show that the Yetter-Drinfeld group modules over a weak T-algebra are special cases as these new weak Doi-Hopf group modules, generalizing the main result by Caenepeel- Militaru-Zhu（1997）.

关 键 词：弱T-代数 Doi—Hopf群模 Yetter—Drinfeld模 

分 类 号：O153.3[理学—数学]