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Abstract. 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.
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Congruence distributivity Majority category Mal’tsev condition N-permutability Regular category Trapezoid lemma
Contexto Educativo
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Mount Allison University
