Regular and exact completions
type: Item
instance of: scholarly article
title: Regular and exact completions
zbMATH Open document ID: 0891.18002
DOI: 10.1016/S0022-4049(96)00115-6
published in: Journal of Pure and Applied Algebra
publication date: 1998-07-20T00:00:00Z
review text: This paper is devoted to the study of the regular and exact completions of categories with weak limits (the existence and uniqueness of these completions is proved) and to the characterization of categories which occur as such (an exact category is the exact completion, necessarily of its full subcategory of regular projectives iff it has enough projectives). Several examples (a category monadic over a power of \({\mathcal S}\)\textit{et} is the exact completion of the full subcategory of free algebras) and applications (to Grothendieck toposes and geometric morphisms, and to epireflective hulls) are also discussed.
Mathematics Subject Classification ID: 18A35
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 18B15
Mathematics Subject Classification ID: 18C20
Mathematics Subject Classification ID: 18F20
Mathematics Subject Classification ID: 18G05
zbMATH DE Number: 1121676
zbMATH Keywords: regular completions
zbMATH Keywords: exact completions
zbMATH Keywords: categories with weak limits
author: A. Carboni
author: E. M. Vitale
reviewed by: I. Tofan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1121676