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 |
| Megjelent: |
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 |
| LEADER | 01131nab a2200205 i 4500 | ||
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| 008 | 211115s2021 hu o 0|| eng d | ||
| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-020-769-4 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Czédli Gábor | |
| 245 | 1 | 3 | |a On the number of atoms in three-generated lattices |h [elektronikus dokumentum] / |c Czédli Gábor |
| 260 | |c 2021 | ||
| 300 | |a 23-38 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 87 No. 1-2 | |
| 520 | 3 | |a 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. | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73915/1/math_087_numb_001-002_023-038.pdf |z Dokumentum-elérés |