Taiwanese Journal of Mathematics

Complete Cotorsion Pairs in Exact Categories

Zhi-Wei Li

Advance publication

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Abstract

We generalize a theorem of Saorín-Štovíček on complete cotorsion pairs in exact categories. Our proof is based on a generalized small object argument due to Chorny. As a consequence, we cover some examples which are not covered by the result of Saorín-Štovíček.

Article information

Source
Taiwanese J. Math., Advance publication (2019), 12 pages.

Dates
First available in Project Euclid: 8 May 2019

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1557280827

Digital Object Identifier
doi:10.11650/tjm/190503

Subjects
Primary: 18E10: Exact categories, abelian categories 18G25: Relative homological algebra, projective classes 18G35: Chain complexes [See also 18E30, 55U15]

Keywords
exact categories cotorsion pairs small object argument

Citation

Li, Zhi-Wei. Complete Cotorsion Pairs in Exact Categories. Taiwanese J. Math., advance publication, 8 May 2019. doi:10.11650/tjm/190503. https://projecteuclid.org/euclid.twjm/1557280827


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