Applied Categorical Structures

, Volume 13, Issue 2, pp 101–111 | Cite as

Congruence Distributivity in Goursat and Mal’cev Categories



We characterize the congruence distributive property for the Goursat and regular Mal’cev categories in terms of preservation of the intersection by direct images. This splits a previous characterization for the exact Mal’cev categories in two cases: plain congruence distributive property and weak congruence distributive property.


congruence distributivity Goursat, Mal’cev and arithmetical category preservation of intersections by direct image 


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© Springer 2005

Authors and Affiliations

  1. 1.Université du Littoral, Laboratoire de Mathématiques Pures et Appliquées, Bat. H. PoincaréCalaisFrance

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