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Cofibrant generation of pure monomorphisms
Journal of Algebra ( IF 0.9 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jalgebra.2020.05.036 Michael Lieberman , Leonid Positselski , Jiří Rosický , Sebastien Vasey
Journal of Algebra ( IF 0.9 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jalgebra.2020.05.036 Michael Lieberman , Leonid Positselski , Jiří Rosický , Sebastien Vasey
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 $R$-modules.
更新日期：2020-10-01
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