Compactness via equivalence relations
type: Item
instance of: scholarly article
title: Compactness via equivalence relations
zbMATH Open document ID: 1157.08001
published in: Algebra Universalis
publication date: 2009-02-17T00:00:00Z
review text: In order to unify some (transfinite) results on compact algebraic structures, such as those proved by \textit{W. Zimmermann} [J. Pure Appl. Algebra 23, 319--328 (1982; Zbl 0474.16016)], the author proposes a concept of compactness with respect to sets of equivalence relations that generalizes the notions of congruence compactness, equational compactness, and topological compactness, where the algebraic structures all appear as atomic compact relational systems. Thus, the main theorem of the present paper, a purely set-theoretic analogue of the above-mentioned result, becomes applicable.
reviewed by: Manfred Armbrust
Mathematics Subject Classification ID: 08A02
Mathematics Subject Classification ID: 08A45
zbMATH DE Number: 5508757
zbMATH Keywords: equivalence relation
zbMATH Keywords: relational system
zbMATH Keywords: compactness
author: Abdallah Laradji
MaRDI profile type: Publication
full work available at URL: s00012-008-2114-9
OpenAlex ID: W2071511026
DOI: 10.1007/S00012-008-2114-9
description: scientific article; zbMATH DE number 5508757