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Separable Functors for the Category of Weak Entwined Modules(PDF)

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

Issue:
2013年03期
Page:
6-8
Research Field:
数学
Publishing date:

Info

Title:
Separable Functors for the Category of Weak Entwined Modules
Author(s):
BahaerguliChen Quanguo
School of Mathematics and Statistics,Yili Normal University,Yining 835000,China
Keywords:
weak entwined structureweak entwined moduleseparable functor
PACS:
O153.3
DOI:
-
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)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.

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.

Memo

Memo:
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Last Update: 2013-09-30