Diagram chasing in Mal'cev categories

@article{Carboni1991DiagramCI,
  title={Diagram chasing in Mal'cev categories},
  author={A. Carboni and J. Lambek and M. Pedicchio},
  journal={Journal of Pure and Applied Algebra},
  year={1991},
  volume={69},
  pages={271-284}
}
Abstract A diagram chasing technique generalizing the ‘two-square’ lemma of homological algebra is extended from Mal'cev varieties to Mal'cev categories: regular categories in which all reflexive relations are effective. The principal method used is the calculus of relations. The connection with Goursat's Theorem in group theory is discussed. 
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References

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Mal'cev Varieties
Categories of affine spaces
Relations in categories
Lectures on rings and modules
Cartesian bicategories I
Relations in regular categories
Onn-permutable congruences
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