2008/09/21 by Teimuraz Pirashvili, Pirashvili, Teimuraz
Mathematics · #Rings, Modules, and Algebras #math.CT #msc:18D05 #msc:18D99
paper · pdf · doi:10.48550/arxiv.0809.3575
arxiv created 2008/09/26 · arxiv updated 2009/12/01
Recently Dupont proved that the categories of discrete and codiscrete (or connected) objects in an abelian 2-category are equivalent abelian categories. He posses also a question whether any abelian category comes in this way. We will give a rather trivial solution of this problem in the case when a given abelian category has enough projective or injective objects.