Cofibrant generation of pure monomorphisms
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Algebra |
| MU Faculty or unit | |
| 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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