Anticommutativity and n-schemes
Open Access
- 26 February 2021
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 6 (1), 175-186
- https://doi.org/10.34198/ejms.6121.175186
Abstract
The purpose of this paper is two-fold. A first and more concrete aim is to give new characterizations of equivalence distributive Goursat categories (which extend 3-permutable varieties) through variations of the little Pappian Theorem involving reflexive and positive relations. A second and more abstract aim is to show that every finitely complete category E satisfying the n-scheme is locally anticommutative.Keywords
This publication has 15 references indexed in Scilit:
- Triangular Scheme Revisited in the Light of n-permutable CategoriesEarthline Journal of Mathematical Sciences, 2021
- Variations of the Shifting Lemma and Goursat categoriesAlgebra universalis, 2019
- MetatheoremsPublished by Springer Science and Business Media LLC ,2004
- A scheme for congruence semidistributivityDiscussiones Mathematicae - General Algebra and Applications, 2003
- Some remarks on Maltsev and Goursat categoriesApplied Categorical Structures, 1993
- Diagram chasing in Mal'cev categoriesJournal of Pure and Applied Algebra, 1991
- A Course in Universal AlgebraPublished by Springer Science and Business Media LLC ,1981
- Onn-permutable congruencesAlgebra universalis, 1973
- Exact categoriesLecture Notes in Mathematics, 1971
- Algebras Whose Congruence Lattices are Distributive.MATHEMATICA SCANDINAVICA, 1967