Coinduction functor and simple comodules

被引：0
作者：
Kaoutit L.E. [1 ]
Gómez-Torrecillas J. [2 ]
机构：
[1] Departamento de Álgebra, Facultad de Educación y Humanidades, Universidad de Granada, 51002 Ceuta
[2] Departamento de Álgebra, Facultad de Ciencias, Universidad de Granada
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2010年 / 56卷 / 1期
关键词：
Corings; Simple comodules; Simple graded modules;
D O I：
10.1007/s11565-009-0086-0
中图分类号：
学科分类号：
摘要：
Consider a coring with exact rational functor, and a finitely generated and projective right comodule. We construct a functor (coinduction functor) which is right adjoint to the hom-functor represented by this comodule. Using the coinduction functor, we establish a bijective map between the set of representative classes of torsion simple right comodules and the set of representative classes of simple right modules over the endomorphism ring. A detailed application to group-graded modules is also given. © 2009 Università degli Studi di Ferrara.
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页码：21 / 35
页数：14
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