On Flat Objects of Finitely Accessible Categories

Flat objects of a finitely accessible additive category 𝒞 are described in terms of some objects of the associated functor category of 𝒞, called strongly flat functors. We study closure properties of the class of strongly flat functors, and we use them to deduce the known result that every object of...

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Detalles Bibliográficos
Autor principal: Crivei, Septimiu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3830896/
https://www.ncbi.nlm.nih.gov/pubmed/24292562
http://dx.doi.org/10.1155/2013/451091
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author Crivei, Septimiu
author_facet Crivei, Septimiu
author_sort Crivei, Septimiu
collection PubMed
description Flat objects of a finitely accessible additive category 𝒞 are described in terms of some objects of the associated functor category of 𝒞, called strongly flat functors. We study closure properties of the class of strongly flat functors, and we use them to deduce the known result that every object of a finitely accessible abelian category has a flat cover.
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spelling pubmed-38308962013-11-28 On Flat Objects of Finitely Accessible Categories Crivei, Septimiu ScientificWorldJournal Research Article Flat objects of a finitely accessible additive category 𝒞 are described in terms of some objects of the associated functor category of 𝒞, called strongly flat functors. We study closure properties of the class of strongly flat functors, and we use them to deduce the known result that every object of a finitely accessible abelian category has a flat cover. Hindawi Publishing Corporation 2013-10-28 /pmc/articles/PMC3830896/ /pubmed/24292562 http://dx.doi.org/10.1155/2013/451091 Text en Copyright © 2013 Septimiu Crivei. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Crivei, Septimiu
On Flat Objects of Finitely Accessible Categories
title On Flat Objects of Finitely Accessible Categories
title_full On Flat Objects of Finitely Accessible Categories
title_fullStr On Flat Objects of Finitely Accessible Categories
title_full_unstemmed On Flat Objects of Finitely Accessible Categories
title_short On Flat Objects of Finitely Accessible Categories
title_sort on flat objects of finitely accessible categories
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3830896/
https://www.ncbi.nlm.nih.gov/pubmed/24292562
http://dx.doi.org/10.1155/2013/451091
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