Characterizing representability by principal congruences for finite distributive lattices with a join-irreducible unit element
For a finite distributive lattice D, let us call Q ⊆ D principal congruence representable, if there is a finite lattice L such that the congruence lattice of L is isomorphic to D and the principal congruences of L correspond to Q under this isomorphism. We find a necessary condition for representabi...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 3-4 |
| Kulcsszavak: | Hálóelmélet, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-017-036-7 |
| Online Access: | http://acta.bibl.u-szeged.hu/50044 |
| Tartalmi kivonat: | For a finite distributive lattice D, let us call Q ⊆ D principal congruence representable, if there is a finite lattice L such that the congruence lattice of L is isomorphic to D and the principal congruences of L correspond to Q under this isomorphism. We find a necessary condition for representability by principal congruences and prove that for finite distributive lattices with a join-irreducible unit element this condition is also sufficient. |
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| Terjedelem/Fizikai jellemzők: | 415-431 |
| ISSN: | 0001-6969 |