Meet-irreducible congruence lattices
type: Item
instance of: scholarly article
title: Meet-irreducible congruence lattices
zbMATH Open document ID: 1406.08001
author: Lucia Janičková
author: Danica Jakubiková-Studenovská
published in: Algebra Universalis
publication date: 2018-11-23T00:00:00Z
review text: The system of all congruence lattices of all algebras with the same base set \(A\) forms a lattice \(E(A)\). The authors investigate meet-irreducible elements of this lattice. They prove necessary and sufficient conditions under which a congruence lattice \(\mathrm{Con}(A,f)\) of a monounary algebra \((A,f)\) is the meet-irreducible element of \(E(A)\).
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 08A60
Mathematics Subject Classification ID: 08A62
zbMATH DE Number: 6983729
zbMATH Keywords: congruence lattice
zbMATH Keywords: monounary algebra, irreducible element
MaRDI profile type: Publication
full work available at URL: s00012-018-0571-3
OpenAlex ID: W2900999453
cites work: Congruence preserving functions on free monoids
cites work: Complete congruence lattices of two related modular lattices
cites work: Q5727672
cites work: Congruence lattices of semilattices with operators
cites work: Q3318823
cites work: Q3181999
cites work: The lattice of quasiorder lattices of algebras on a finite set.
cites work: Q3539342
Wikidata QID: Q128905012
DOI: 10.1007/S00012-018-0571-3
description: scientific article; zbMATH DE number 6983729