Zilber’s Theorem for planar lattices, revisited
Zilber’s Theorem states that a finite lattice L is planar if and only if it has a complementary order relation. We provide a new proof for this crucial result and discuss some applications, including a canonical form for finite planar lattices and an analysis of coverings in the left-right order.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2020
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| Sorozat: | Acta scientiarum mathematicarum
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| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-019-230-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/69364 |
| Tartalmi kivonat: | Zilber’s Theorem states that a finite lattice L is planar if and only if it has a complementary order relation. We provide a new proof for this crucial result and discuss some applications, including a canonical form for finite planar lattices and an analysis of coverings in the left-right order. |
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| Terjedelem/Fizikai jellemzők: | 81-104 |
| ISSN: | 2064-8316 |