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...
Elmentve itt :
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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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 19-28 |
| ISSN: | 0001-6969 |