Cofibrant generation of pure monomorphisms

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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.
Related projects:	Injektivita a monády v algebře a topologii