Characteristic triangles of closure operators with applications in general algebra
type: Item
instance of: scholarly article
title: Characteristic triangles of closure operators with applications in general algebra
zbMATH Open document ID: 1209.08001
author: Branimir Šešelja
author: Andreja Tepavčević
author: Gábor Czédli
author: Marcel Erné
published in: Algebra Universalis
publication date: 2010-09-10T00:00:00Z
review text: The aim of this paper is to investigate groups and their weak congruence lattices in the abstract setting of lattices \(L\) with (local) closure operators \(C\) in the categorical sense, where \(L\) is regarded as a small category and \(C\) is a family of closure maps on the principal ideals of \(L\). A useful tool for structural investigations of such lattices with closure is the so-called characteristic triangle, a certain substructure of the square \( L^2\).
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 06B05
Mathematics Subject Classification ID: 18B35
zbMATH DE Number: 5782715
zbMATH Keywords: algebraic lattice
zbMATH Keywords: characteristic triangle
zbMATH Keywords: continuous closure
zbMATH Keywords: Dedekind group
zbMATH Keywords: normal subgroup
zbMATH Keywords: weak congruence lattice
reviewed by: Dimitru Buşneag
MaRDI profile type: Publication
full work available at URL: s00012-010-0059-2
OpenAlex ID: W2062083358
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DOI: 10.1007/S00012-010-0059-2
description: scientific article; zbMATH DE number 5782715