Making factorizations compositive

Reinhard Börger

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 4, page 749-759
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Börger, Reinhard. "Making factorizations compositive." Commentationes Mathematicae Universitatis Carolinae 32.4 (1991): 749-759. <http://eudml.org/doc/247310>.

@article{Börger1991,
abstract = {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.},
author = {Börger, Reinhard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {(locally) orthogonal $\mathcal \{E\}$-factorization; (local) factorization class; colimit of a chain; cointersection; regular epimorphism; joint coequalizer; (familially) strong epimorphism; decomposition number; orthogonal -factorization; decomposition number; cointersection; compositive cone factorizations; joint coequalizers; colimits of chains; regular epimorphisms},
language = {eng},
number = {4},
pages = {749-759},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Making factorizations compositive},
url = {http://eudml.org/doc/247310},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Börger, Reinhard
TI - Making factorizations compositive
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 4
SP - 749
EP - 759
AB - 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.
LA - eng
KW - (locally) orthogonal $\mathcal {E}$-factorization; (local) factorization class; colimit of a chain; cointersection; regular epimorphism; joint coequalizer; (familially) strong epimorphism; decomposition number; orthogonal -factorization; decomposition number; cointersection; compositive cone factorizations; joint coequalizers; colimits of chains; regular epimorphisms
UR - http://eudml.org/doc/247310
ER -

References

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