Abstract
This note is a complement to a beautiful recent paper of A. Carboni, which characterizes affine categories, i.e. those categories which occur as slices of additive categories. We show that the condition that every reflexive graph has a unique groupoid structure, which was observed by Carboni to follow from affineness, is equivalent to the existence of a natural Mal'cev operation on a category; we further show that this condition implies the additiveness of the category of pointed objects, but not the affineness of the original category.
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