Covers in finitely accessible categories
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- by Septimiu Crivei, Mike Prest and Blas Torrecillas PDF
- Proc. Amer. Math. Soc. 138 (2010), 1213-1221 Request permission
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.References
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Additional Information
- Septimiu Crivei
- Affiliation: Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University, Str. Mihail Kogălniceanu 1, 400084 Cluj-Napoca, Romania
- Email: crivei@math.ubbcluj.ro
- Mike Prest
- Affiliation: School of Mathematics, Jan Turing Building, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
- MR Author ID: 141975
- Email: mprest@manchester.ac.uk
- Blas Torrecillas
- Affiliation: Departamento de Álgebra y Análisis, Universidad de Almería, 04071 Almería, Spain
- MR Author ID: 190119
- Email: btorreci@ual.es
- Received by editor(s): April 17, 2009
- Received by editor(s) in revised form: August 1, 2009
- Published electronically: December 1, 2009
- Additional Notes: This work was partially supported by MEC Romania (grant PN-II-ID-PCE-2008-2 project ID_2271), MEC Spain and DGI Spain (project MTM2008-03339), and Junta de Andalucía (Proyecto de Excelencia FQM 3128). The first author would like to thank the Department of Algebra and Analysis for their kind hospitality during his stays at the University of Almería.
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1213-1221
- MSC (2010): Primary 18E05, 18C35; Secondary 16D90
- DOI: https://doi.org/10.1090/S0002-9939-09-10178-8
- MathSciNet review: 2578515