relation: http://publicatio.bibl.u-szeged.hu/14540/
title: Representing an isotone map between two bounded ordered sets by principal lattice congruences
creator:  Czédli Gábor
description: For bounded lattices L1 and L2, let (Formula presented.) be a lattice homomorphism. Then the map (Formula presented.), defined by (Formula presented.), is a 0-preserving isotone map from the bounded ordered set Princ(L1) of principal congruences of L1 to that of L2. We prove that every 0-preserving isotone map between two bounded ordered sets can be represented in this way. Our result generalizes a 2016 result of G. Grätzer from (Formula presented.)-preserving isotone maps to 0-preserving isotone maps. © 2018 Akadémiai Kiadó, Budapest, Hungary
date: 2018
type: Folyóiratcikk
type: PeerReviewed
format: text
identifier: http://publicatio.bibl.u-szeged.hu/14540/1/czedli_representing-an-isotone-map-between-2-bounded-posets-by-princs.pdf
identifier:     Czédli Gábor: Representing an isotone map between two bounded ordered sets by principal lattice congruences.   ACTA MATHEMATICA HUNGARICA, 155 (2).  pp. 332-354.  ISSN 0236-5294 (2018)     
identifier: doi:10.1007/s10474-018-0844-5
relation: 3394288
language: eng
relation: info:eu-repo/semantics/altIdentifier/doi/10.1007/s10474-018-0844-5
rights: info:eu-repo/semantics/openAccess