Localization on certain Grothendieck categories

被引：0
|
作者：
F. Castaño-Iglesias
N. Chifan
C. Năstăsescu
机构：
[1] Universidad de Almería,Departamento de Estadística y Matemática Aplicada
[2] University of Galati,Department of Mathematics
[3] Facultatea de Matematică,undefined
来源：
Acta Mathematica Sinica, English Series | 2009年 / 25卷
关键词：
Grothendieck category; localization; colocalization; semiartinian category; semiperfect category; 18E15; 18E35;
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摘要：
Using categorical techniques we obtain some results on localization and colocalization theory in Grothendieck categories with a set of small projective generators. In particular, we give a sufficient condition for such category to be semiartinian. For semiartinian Grothendieck categories where every simple object has a projective cover, we obtain that every localizing subcategory is a TTF-class. In addition, some applications to semiperfect categories are obtained.
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页码：379 / 392
页数：13
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