Atom-generated planar lattices
In this note, we discuss planar lattices generated by their atoms. We prove that if L is a planar lattice generated by n atoms, then both the left and the right boundaries of L have at most n + 1 elements. On the other hand, L can be arbitrarily large. For every k > 1, we construct a planar latti...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Algebra, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-363-7 |
| Online Access: | http://acta.bibl.u-szeged.hu/73895 |
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| 245 | 1 | 0 | |a Atom-generated planar lattices |h [elektronikus dokumentum] / |c Grätzer G. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2020 | ||
| 300 | |a 351-357 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 86 No. 3-4 | |
| 520 | 3 | |a In this note, we discuss planar lattices generated by their atoms. We prove that if L is a planar lattice generated by n atoms, then both the left and the right boundaries of L have at most n + 1 elements. On the other hand, L can be arbitrarily large. For every k > 1, we construct a planar lattice L generated by 4 atoms such that L has more than k elements. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Algebra, Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73895/1/math_086_numb_003-004_351-357.pdf |z Dokumentum-elérés |