Facets of congruence distributivity in Goursat categories

Gran, Marino; Rodelo, Diana; Nguefeu, Idriss Tchoffo

http://hdl.handle.net/10400.1/16380

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Authors

Gran, Marino

Rodelo, Diana

Nguefeu, Idriss Tchoffo

Abstract(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.