%0 Journal Article
%@ 0236-5294
%A  Czédli Gábor
%A Bolyai Intézet (Matematikai Tanszékcsoport) [2007-2015],
%A Bolyai Intézet (Matematikai Intézet) SZTE / TTIK MI [2016-],
%A Algebra és Számelmélet Tanszék [2007-2015],
%A Algebra és Számelmélet Tanszék SZTE / TTIK / MI ASZT [2016-],
%D 2018
%F publicatio:14540
%J ACTA MATHEMATICA HUNGARICA
%N 2
%P 332-354
%T Representing an isotone map between two bounded ordered sets by principal lattice congruences
%U http://publicatio.bibl.u-szeged.hu/14540/
%V 155
%X 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
%Z FELTÖLTŐ: Czédli Gábor czedli@math.u-szeged.hu First Online: 26 June 2018