Flat and Cotorsion Quasi-Coherent Sheaves. Applications

被引：0
|
作者：
Edgar Enochs
S. Estrada
J. R. García-Rozas
L. Oyonarte
机构：
[1] University of Kentucky,Department of Mathematics
[2] Universidad de Granada,Departamento de Álgebra
[3] Universidad de Almería,Dept. Álgebra y Análisis Matemático
来源：
Algebras and Representation Theory | 2004年 / 7卷
关键词：
flat and cotorsion quasi-coherent sheaf; flat cover; cotorsion envelope;
D O I：
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中图分类号：
学科分类号：
摘要：
The study of flat covers and cotorsion envelopes has turned out to be very useful since their existence was proved in [3] for the category of R-modules. The problem is even more interesting in categories of sheaves on a topological space, because these categories do not have enough projectives. But the existence of flat covers and cotorsion envelopes allow us to form flat and cotorsion resolutions to compute cohomology.
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页码：441 / 456
页数：15
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