Geodesic
The Existence of Injective Effacements
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 1-6

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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*. 
Barr, Michael. The Existence of Injective Effacements. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 1-6. doi: 10.4153/CMB-1975-001-5
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