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...
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| Format: | Article |
| Published: |
2015
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| Series: | ACTA MATHEMATICA HUNGARICA
147 No. 1 |
| doi: | 10.1007/s10474-015-0539-0 |
| mtmt: | 2984003 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/14547 |