Covers in finitely accessible categories

Crivei, Septimiu and Prest, Mike and Torrecillas, Blas (2009) Covers in finitely accessible categories. [MIMS Preprint]

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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

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