TY  - JOUR
JF  - ACTA MATHEMATICA HUNGARICA
IS  - 2
TI  - Representing an isotone map between two bounded ordered sets by principal lattice congruences
N2  - 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. Š 2018 Akadémiai Kiadó, Budapest, Hungary
SP  - 332
UR  - http://publicatio.bibl.u-szeged.hu/14540/
AV  - public
ID  - publicatio14540
Y1  - 2018///
A1  -  Czédli Gábor
SN  - 0236-5294
N1  - FELTÖLT?: Czédli Gábor czedli@math.u-szeged.hu
First Online: 26 June 2018
VL  - 155
EP  - 354
ER  -