Approximations and adjoints in homotopy categories
Approximations and adjoints in homotopy categories
复制标题
同伦范畴中的近似和伴随
DOI：
10.1007/s00208-011-0703-y
复制
发表时间：
2010
影响因子：
1.4
通讯作者：
H. Krause
中科院分区：
文献类型：
--
作者：
H. Krause
我们为共完备加性范畴中存在正确近似提供了一个标准；这是对 El Bashir 结果的直接概括。该标准用于构造同伦范畴中的伴随函子。应用包括（纯）派生类别的研究。例如，它表明任何模块类别的纯派生类别都是紧凑生成的。
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.