Essential reflections versus minimal embeddings
type: Item
instance of: scholarly article
title: Essential reflections versus minimal embeddings
zbMATH Open document ID: 0596.18001
DOI: 10.1016/0022-4049(85)90084-2
author: Anthony W. Hager
author: J. Madden
published in: Journal of Pure and Applied Algebra
publication date: 1985-01-01T00:00:00Z
review text: Under mild conditions on a given class \({\mathcal M}\) of homomorphisms, some elementary properties on full reflective subcategories with \({\mathcal M}\)- essential reflections (or equivalently: of \({\mathcal M}\)-reflective subcategories whose reflector preserves \({\mathcal M}\)-morphisms) are presented in this paper, together with a list of interesting examples. \{For further results on such subcategories, see \textit{C. M. Ringel}, Trans. Am. Math. Soc. 161, 293-306 (1971; Zbl 0206.301); here \({\mathcal M} =\) all monomorphisms, but the results easily translate into an appropriate \({\mathcal M}\)-context.\}
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 18A20
zbMATH DE Number: 3959728
zbMATH Keywords: M-essential morphism
zbMATH Keywords: amalgamation property
zbMATH Keywords: \({\mathcal M}\)-reflective subcategories
reviewed by: Walter Tholen
MaRDI profile type: Publication
full work available at URL: 0022-4049(85)90084-2
OpenAlex ID: W2003362115
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description: scientific article; zbMATH DE number 3959728