Centrality and connectors in Maltsev categories.
type: Item
instance of: scholarly article
title: Centrality and connectors in Maltsev categories.
zbMATH Open document ID: 1061.18006
author: Dominique Bourn
author: Marino Gran
published in: Algebra Universalis
publication date: 2005-04-19T00:00:00Z
review text: A category \(\mathcal C\) is Maltsev if any reflexive relation in \(\mathcal C\) is an equivalence. The authors define two basic concepts: centrality of equivalence relations and a connector between two binary relations. Applying these concepts, they develop a new approach to the classical property of centrality of equivalence relations. The internal concept of connector allows them to clarify classical results on Maltsev varieties and to extend them to the more general context of regular Maltsev categories. It is proved that Maltsev categories can be characterized in terms of a property of connectors.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 18C05
Mathematics Subject Classification ID: 08C15
Mathematics Subject Classification ID: 08B05
Mathematics Subject Classification ID: 18E10
zbMATH DE Number: 2158812
zbMATH Keywords: Maltsev categories
zbMATH Keywords: centrality of equivalence relations
zbMATH Keywords: connector
zbMATH Keywords: internal groupoids
MaRDI profile type: Publication
full work available at URL: s000120200003
OpenAlex ID: W2037160778
DOI: 10.1007/S000120200003
description: scientific article; zbMATH DE number 2158812