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: |
2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Algebra, Matematika |
| doi: | 10.14232/actasm-020-363-7 |
| Online Access: | http://acta.bibl.u-szeged.hu/73895 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 351-357 |
| ISSN: | 2064-8316 |