COVERS IN FINITELY ACCESSIBLE CATEGORIES

被引：47
作者：
Crivei, Septimiu [1 ]
Prest, Mike [2 ]
Torrecillas, Blas [3 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
[3] Univ Almeria, Dept Algebra & Anal, Almeria 04071, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 04期
关键词：
Finitely accessible additive category; locally finitely presented additive category; (pre)cover; (pre)envelope; flat object; absolutely pure object; QUASI-COHERENT SHEAVES; FLAT MODEL STRUCTURE; ENVELOPES; COMPLEXES; MODULES;
D O I：
10.1090/S0002-9939-09-10178-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1213 / 1221
页数：9
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