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
|Deposited By:||Professor Mike Prest|
|Deposited On:||20 October 2009|