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Facets of congruence distributivity in Goursat categories
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Orientador(es)
Resumo(s)
We give new characterisations of regular Mal'tsev categories with distributive lattice of equivalence relations through variations of the so-called Triangular Lemma and Trapezoid Lemma in universal algebra. We then give new characterisations of equivalence distributive Goursat categories (which extend 3-permutable varieties) through variations of the Triangular and Trapezoid Lemmas involving reflexive and positive relations. (C) 2020 Elsevier B.V. All rights reserved.
Descrição
Palavras-chave
Mal'tsev categories Goursat categories Congruence distributive varieties Shifting Lemma Triangular Lemma Trapezoid Lemma
Contexto Educativo
Citação
Editora
Elsevier