On a result of Gábor Czédli concerning congruence lattices of planar semimodular lattices
A planar semimodular lattice is slim if it does not contain M3 as a sublattice. An SPS lattice is a slim, planar, semimodular lattice. Congruence lattices of SPS lattices satisfy a number of properties. It was conjectured that these properties characterize them. A recent result of Gábor Czédli prove...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-014-024-l |
| Online Access: | http://acta.bibl.u-szeged.hu/35192 |
| Tartalmi kivonat: | A planar semimodular lattice is slim if it does not contain M3 as a sublattice. An SPS lattice is a slim, planar, semimodular lattice. Congruence lattices of SPS lattices satisfy a number of properties. It was conjectured that these properties characterize them. A recent result of Gábor Czédli proves that there is an eight element (planar) distributive lattice having all these properties that cannot be represented as the congruence lattice of an SPS lattice. We provide a new proof. |
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| Terjedelem/Fizikai jellemzők: | 25-32 |
| ISSN: | 0001-6969 |