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2009.76: Covers in finitely accessible categories

2009.76: Septimiu Crivei, Mike Prest and Blas Torrecillas (2009) Covers in finitely accessible categories.

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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 2000 > 16 Associative rings and algebras
MSC 2000 > 18 Category theory; homological algebra
MIMS number:2009.76
Deposited By:Professor Mike Prest
Deposited On:20 October 2009

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