Representing a monotone map by principal lattice congruences
For a lattice L, let Princ (L) denote the ordered set of principal congruences of L. In a pioneering paper, G. Grätzer proved that bounded ordered sets (in other words, posets with 0 and 1) are, up to isomorphism, exactly the Princ (L) of bounded lattices L. Here we prove that for each 0-separating...
Elmentve itt :
Szerző: | Czédli Gábor |
---|---|
Dokumentumtípus: | Cikk |
Megjelent: |
2015
|
Sorozat: | ACTA MATHEMATICA HUNGARICA
147 No. 1 |
doi: | 10.1007/s10474-015-0539-0 |
mtmt: | 2984003 |
Online Access: | http://publicatio.bibl.u-szeged.hu/14547 |
Hasonló tételek
-
Representing some families of monotone maps by principal lattice congruences
Szerző: Czédli Gábor
Megjelent: (2017) -
Cometic functors and representing order-preserving maps by principal lattice congruences
Szerző: Czédli Gábor
Megjelent: (2018) -
Representing an isotone map between two bounded ordered sets by principal lattice congruences
Szerző: Czédli Gábor
Megjelent: (2018) -
Homomorphisms and principal congruences of bounded lattices I. Isotone maps of principal congruences
Szerző: Grätzer George A.
Megjelent: (2016) -
On the set of principal congruences in a distributive congruence lattice of an algebra
Szerző: Czédli Gábor
Megjelent: (2018)