Contents Online
Homology, Homotopy and Applications
Volume 3 (2001)
Number 3
Exact completion and representation in Abelian categories
Pages: 453 – 466
DOI: https://dx.doi.org/10.4310/HHA.2001.v3.n3.a1
Authors
Abstract
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.
Keywords
completions, Mal’cev categories, abelian categories, Frobenius categories
2010 Mathematics Subject Classification
18A35, 18B15, 18E10, 18G05
Published 1 January 2001