Representing an isotone map between two bounded ordered sets by principal lattice congruences
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...
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| Dokumentumtípus: | Cikk |
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2018
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| Sorozat: | ACTA MATHEMATICA HUNGARICA
155 No. 2 |
| doi: | 10.1007/s10474-018-0844-5 |
| mtmt: | 3394288 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/14540 |
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| 490 | 0 | |a ACTA MATHEMATICA HUNGARICA |v 155 No. 2 | |
| 520 | 3 | |a 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 | |
| 856 | 4 | 0 | |u http://publicatio.bibl.u-szeged.hu/14540/1/czedli_representing-an-isotone-map-between-2-bounded-posets-by-princs.pdf |z Dokumentum-elérés |