Publication details

Cofibrant generation of pure monomorphisms

Authors

LIEBERMAN Michael POSITSELSKIY Leonid ROSICKÝ Jiří VASEY Sébastien Bernard

Year of publication 2020
Type Article in Periodical
Magazine / Source Journal of Algebra
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1016/j.jalgebra.2020.05.036
Doi http://dx.doi.org/10.1016/j.jalgebra.2020.05.036
Keywords pure monomorphism; pure injective; cofibrant generation; locally finitely presentable category; additive category
Description We show that pure monomorphisms are cofibrantly generated---generated from a set of morphisms by pushouts, transfinite composition, and retracts---in any locally finitely presentable additive category. In particular, this is true in any category of modules.
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