Homology, Homotopy and Applications
Volume 3 (2001)
Exact completion and representation in Abelian categories
Pages: 453 – 466
When the exact completion of a category with weak finite limits is a Mal’cev category, it is possible to combine the universal property of the exact completion and the universal property of the coequalizer completion. We use this fact to explain Freyd’s representation theorems in abelian and Frobenius categories.
completions, Mal’cev categories, abelian categories, Frobenius categories
2010 Mathematics Subject Classification
18A35, 18B15, 18E10, 18G05