[1]巴哈尔古丽,陈全国.弱缠绕模范畴的可分函子[J].南京师大学报(自然科学版),2013,36(03):6-8.
　Bahaerguli,Chen Quanguo.Separable Functors for the Category of Weak Entwined Modules[J].Journal of Nanjing Normal University(Natural Science Edition),2013,36(03):6-8.
点击复制

弱缠绕模范畴的可分函子()
分享到：

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第36卷
期数:
2013年03期
页码:
6-8
栏目:
数学
出版日期:
2013-09-30

文章信息/Info

Title:
Separable Functors for the Category of Weak Entwined Modules
作者:
巴哈尔古丽; 陈全国
伊犁师范学院数学与统计学院,新疆 伊宁 835000
Author(s):
Bahaerguli; Chen Quanguo
School of Mathematics and Statistics,Yili Normal University,Yining 835000,China
关键词:
弱缠绕结构; 弱缠绕模; 可分函子
Keywords:
weak entwined structure; weak entwined module; separable functor
分类号:
O153.3
摘要:
设(A,C)ψ为一个弱缠绕结构.利用Rafael定理,讨论了从弱缠绕模范畴UCA(ψ)到右A-模范畴MA忘却函子F的可分性,证明了忘却函子F是可分的当且仅当存在一个正规化积分θ:CC→A.
Abstract:
Let(A,C)ψ be a weak entwined structure.Using Rafael’s theorem,the separability of the forgetful functor F from the category UCA(ψ)of weak entwined modules to the category MA of right A-modules is discussed,and it is shown that the forgetful functor F is separable if and only if there exists a normalized integral θ:CC→A.

参考文献/References:

[1] Nǎstǎsescu C,van den Bergh M,van Oystaeyen F.Separable functors applied to graded rings[J].J Algebra,1989,123(2):397-413.
[2]Caenepeel S,Ion B,Militaru G,et al.Separable functors for the category of Doi-Hopf modules,Applications[J].Advances in Mathematics,1999,145(2):239-290.
[3]Böhm G.Doi-hopf modules over weak hopf algebras[J].Comm Algebra,2000,28(10):4 687-4 698.
[4]Chen Q G,Wang S H.Separable functors for the category of Doi-Hopf π-modules[J].Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg,2011,81(2):261-272.
[5]Brzeziński T,Majid Sh.Coalgebra bundles[J].Comm Math Phys,1998,191(2):467-492.
[6]Brzeziński T.On modules associated to coalgebra galois extensions[J].J Algebra,1999,215(1); 290-317.
[7]Caenepeel S,de Groot E.Modules over weak entwining structures[J].Contemporary Mathematics,2000,267:31-54.
[8]Rafael M D.Separable functors revised[J].Comm Algebra,1990,18(5):1 445-1 459.

备注/Memo

备注/Memo:
收稿日期:2012-09-07.
基金项目:新疆维吾尔自治区普通高等学校重点学科经费资助(2012ZDXK03).
通讯联系人:陈全国,博士,副教授,研究方向:Hopf代数.E-mail:cqg211@163.com
更新日期/Last Update: 2013-09-30