Complete cotorsion pairs in exact categories
Representation Theory
2018-03-08 v2 Category Theory
Abstract
We show a cotorsion pair cogenerated by a class is complete under suitable conditions in an arbitrary exact category using the generalized small object argument given by Chorny. This recovers Saor\'in and \v{S}\v{t}ov\'{i}\v{c}ek's criterion of the completeness of cotorsion pairs in their efficient exact categories. Examples in the categories of chain complexes of exact categories are given.
Keywords
Cite
@article{arxiv.1412.6171,
title = {Complete cotorsion pairs in exact categories},
author = {Zhi-Wei Li},
journal= {arXiv preprint arXiv:1412.6171},
year = {2018}
}
Comments
We improved the main result