Permutations assigned to slim rectangular lattices
Slim rectangular lattices were introduced by G. Gratzer and E. Knapp in Acta Sci. Math. 75, 29-48, 2009. They are finite semimodular lattices L such that the poset Ji L of join-irreducible elements of L is the cardinal sum of two nontrivial chains. Using deep tools and involved considerations, a 201...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 1-2 |
| Kulcsszavak: | Négyzetrács, Permutáció, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-271-y |
| Online Access: | http://acta.bibl.u-szeged.hu/40274 |
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| 100 | 1 | |a Dékány Tamás | |
| 245 | 1 | 0 | |a Permutations assigned to slim rectangular lattices |h [elektronikus dokumentum] / |c Dékány Tamás |
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| 300 | |a 19-28 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 82 No. 1-2 | |
| 520 | 3 | |a Slim rectangular lattices were introduced by G. Gratzer and E. Knapp in Acta Sci. Math. 75, 29-48, 2009. They are finite semimodular lattices L such that the poset Ji L of join-irreducible elements of L is the cardinal sum of two nontrivial chains. Using deep tools and involved considerations, a 2013 paper by G. Czédli and the present authors proved that a slim semimodular lattice is rectangular iff so is the Jordan-Holder permutation associated with it. Here, we give an easier and more elementary proof. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Négyzetrács, Permutáció, Matematika | ||
| 700 | 0 | 1 | |a Gyenizse Gergő |e aut |
| 700 | 0 | 1 | |a Kulin Júlia |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/40274/1/math_082_numb_001_002_019-028.pdf |z Dokumentum-elérés |