Crivei, Septimiu and Prest, Mike and Torrecillas, Blas (2009) Covers in finitely accessible categories. [MIMS Preprint]
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Abstract
We show that in a finitely accessible additive category every class of objects closed under direct limits and pure epimorphic images is covering. In particular, the classes of flat objects in a locally finitely presented additive category and of absolutely pure objects in a locally coherent category are covering.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Finitely accessible additive category, locally finitely presented additive category, (pre)cover, (pre)envelope, flat object, absolutely pure object. |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 18 Category theory; homological algebra |
| Depositing User: | Professor Mike Prest |
| Date Deposited: | 20 Oct 2009 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1340 |
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