Applications of hyperhomology to adjoint functors

被引：0
作者：
Chen, Hongxing [1 ,2 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing 100048, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 01期
关键词：
Adjoint functor; cotorsion pair; homotopy category; hyperhomology; Primary; Secondary; HOMOTOPY CATEGORY; COTORSION PAIRS; MODULES;
D O I：
10.1080/00927872.2021.1949019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hyperhomology is applied to give explicit constructions of left or right adjoint functors of some inclusions between unbounded homotopy categories of additive categories arising from cotorsion pairs in abelian categories. These constructions are independent of Brown representability and do not involve cardinality in set theory. Applications are then given to injective cotorsion pairs in abelian categories and some typical cotorsion pairs in module categories of rings.
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页码：19 / 32
页数：14
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