On the number of atoms in three-generated lattices
As the main result of the paper, we construct a three-generated, 2- distributive, atomless lattice that is not finitely presented. Also, the paper contains the following three observations. First, every coatomless three-generated lattice has at least one atom. Second, we give some sufficient conditi...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 1-2 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-020-769-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/73915 |
| Tartalmi kivonat: | As the main result of the paper, we construct a three-generated, 2- distributive, atomless lattice that is not finitely presented. Also, the paper contains the following three observations. First, every coatomless three-generated lattice has at least one atom. Second, we give some sufficient conditions implying that a three-generated lattice has at most three atoms. Third, we present a three-generated meet-distributive lattice with four atoms. |
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| Terjedelem/Fizikai jellemzők: | 23-38 |
| ISSN: | 2064-8316 |