Facets of congruence distributivity in Goursat categories
Category Theory
2021-04-13 v2 Commutative Algebra
Rings and Algebras
Abstract
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 -permutable varieties) through variations of the Triangular and Trapezoid Lemmas involving reflexive and positive relations.
Keywords
Cite
@article{arxiv.1909.10211,
title = {Facets of congruence distributivity in Goursat categories},
author = {Marino Gran and Diana Rodelo and Idriss Tchoffo Nguefeu},
journal= {arXiv preprint arXiv:1909.10211},
year = {2021}
}
Comments
21 pages