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Title: A categorical concept of completion of objects (English)
Author: Brümmer, G. C. L.
Author: Giuli, E.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 33
Issue: 1
Year: 1992
Pages: 131-147
Category: math
Summary: We introduce the concept of firm classes of morphisms as basis for the axiomatic study of completions of objects in arbitrary categories. Results on objects injective with respect to given morphism classes are included. In a finitely well-complete category, firm classes are precisely the coessential first factors of morphism factorization structures. (English)
Keyword: firm reflection
Keyword: (sub-)firm class
Keyword: injective object
Keyword: (co)-essential morphism
MSC: 18A32
MSC: 18A40
MSC: 18B30
MSC: 18G05
MSC: 54B30
MSC: 54E15
idZBL: Zbl 0760.18005
idMR: MR1173755
Date available: 2009-01-08T17:54:12Z
Last updated: 2012-04-30
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