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 |
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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 |
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| 008 | 180209s2017 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 024 | 7 | |a 10.14232/actasm-017-036-7 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Grätzer George A. | |
| 245 | 1 | 0 | |a Characterizing representability by principal congruences for finite distributive lattices with a join-irreducible unit element |h [elektronikus dokumentum] / |c Grätzer George A. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2017 | ||
| 300 | |a 415-431 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 83 No. 3-4 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Hálóelmélet, Matematika | ||
| 700 | 0 | 1 | |a Zádori L. |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/50044/1/math_083_numb_003-004_415-431.pdf |z Dokumentum-elérés |