Geodesic
Making factorizations compositive
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 749-759 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The main aim of this paper is to obtain compositive cone factorizations from non-compositive ones by itereration. This is possible if and only if certain colimits of (possibly large) chains exist. In particular, we show that (strong-epi, mono) factorizations of cones exist if and only if joint coequalizers and colimits of chains of regular epimorphisms exist.
The main aim of this paper is to obtain compositive cone factorizations from non-compositive ones by itereration. This is possible if and only if certain colimits of (possibly large) chains exist. In particular, we show that (strong-epi, mono) factorizations of cones exist if and only if joint coequalizers and colimits of chains of regular epimorphisms exist.
Classification : 03E10, 18A20, 18A30, 18A32
Keywords: (locally) orthogonal $\Cal E$-factorization; (local) factorization class; colimit of a chain; cointersection; regular epimorphism; joint coequalizer; (familially) strong epimorphism; decomposition number 
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Börger, Reinhard. Making factorizations compositive. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 749-759. http://geodesic.mathdoc.fr/item/CMUC_1991_32_4_a17/

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