Geodesic
Categorical aspects of congruence distributivity
Theory and applications of categories, Tome 41 (2024), pp. 531-550

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We study a categorical condition on relations, which is a categorical formulation of Jónsson's characterisation of congruence distributive varieties. Categories satisfying these conditions need not be varieties; for instance, the dual of the categories of topological spaces, ordered sets, G-sets, and the dual of any (pre)topos all provide us with examples.

Publié le :
Classification : 08B05, 08B10, 18E08, 18E13
Keywords: Congruence distributivity, n-permutability, Mal'tsev condition, regular category, trapezoid lemma, majority category 
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Michael Hoefnagel; Diana Rodelo. Categorical aspects of congruence distributivity. Theory and applications of categories, Tome 41 (2024), pp. 531-550. http://geodesic.mathdoc.fr/item/TAC_2024_41_a16/