Complemented quasiorder lattices of monounary algebras
type: Item
instance of: scholarly article
title: Complemented quasiorder lattices of monounary algebras
zbMATH Open document ID: 1231.08003
author: M. Petrejčíková
author: Danica Jakubiková-Studenovská
published in: Algebra Universalis
publication date: 2011-08-16T00:00:00Z
review text: A quasiorder of an algebra \(A\) is a reflexive and transitive binary relation on \(A\) compatible with all operations of \(A\). The set of quasiorders of any algebra is a lattice with respect to inclusion. The authors characterize monounary algebras whose lattices of quasiorders are complemented.
reviewed by: Jiří Rachůnek
Mathematics Subject Classification ID: 08A60
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 08A02
zbMATH DE Number: 5939544
zbMATH Keywords: monounary algebra
zbMATH Keywords: quasiorder
zbMATH Keywords: complemented lattice
MaRDI profile type: Publication
full work available at URL: s00012-011-0136-1
OpenAlex ID: W2052975944
cites work: On the Congruence Lattices of Unary Algebras
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cites work: Intervals in lattices of quasiorders
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cites work: Lattices of quasiorders on universal algebras
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cites work: Q3512583
DOI: 10.1007/S00012-011-0136-1
description: scientific article; zbMATH DE number 5939544