Approximations and adjoints in homotopy categories

被引：31

作者：

Krause, Henning ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

MATHEMATISCHE ANNALEN | 2012年 / 353卷 / 03期

关键词：

RELATIVE HOMOLOGICAL ALGEBRA; BROWN REPRESENTABILITY; FLAT COVERS; MODULES; COMPLEXES; RINGS;

D O I：

10.1007/s00208-011-0703-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a criterion for the existence of right approximations in cocomplete additive categories; it is a straightforward generalisation of a result due to El Bashir. This criterion is used to construct adjoint functors in homotopy categories. Applications include the study of (pure) derived categories. For instance, it is shown that the pure derived category of any module category is compactly generated.

引用

页码：765 / 781

页数：17

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