The Existence of Injective Effacements

1 April 1975

journal article
Published by Canadian Mathematical Society in Canadian Mathematical Bulletin

Vol. 18 (1) , 1-6
https://doi.org/10.4153/cmb-1975-001-5

Abstract

The main result of this paper is little more than a juxtaposition of a remark in [Leroux] (§5, part A), with a theorem of [Banaschewski]. However, the results are individually little known and their juxtaposition not at all. More explicitly, Leroux remarks, in somewhat different form,Let the category X be complete and cocomplete, and have a set of cogenerators. Then a necessary and sufficient condition that there exist infective effacements (with respect to the class of regular monomorphisms) is that X be coregular and satisfy, in addition, condition COEX 4*.

Keywords

This publication has 2 references indexed in Scilit:

Sur les structures d'effacement
Mathematische Zeitschrift, 1971
Exact Categories and Categories of Sheaves
Published by Springer Nature ,1971