Does there exist any intrinsic characterization of additive categories equivalent to $\operatorname{Ex}(A,Ab)$, that is, of exact functors from a small abelian category $A$ into abelian groups? Any hints (including sufficient conditions) would be very welcome!
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asked Apr 8, 2021 at 7:35
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5$\begingroup$ Have you seen this paper? Modules as exact functors, by M. Prest, arxiv.org/pdf/1801.08015.pdf $\endgroup$– Gregory AroneCommented Apr 8, 2021 at 8:11
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$\begingroup$ Thank you very much! M. Prest has written several papers and books on these (definable) categories. $\endgroup$– Mikhail BondarkoCommented Apr 8, 2021 at 17:52
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