On principal congruences and the number of congruences of a lattice with more ideals than filters
Let λ and κ be cardinal numbers such that κ is infinite and either2 ≤ λ ≤ κ, or λ = 2κ. We prove that there exists a lattice L exactly λ many congruences ,2κ many ideals, but only κ many filters. Furthermore, if λ ≤ 2isan integer of the form 2m·3n, then we can choose L to be a modular lattice gener...
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| Dokumentumtípus: | Cikk |
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Bolyai Institute, University of Szeged
Szeged
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Rácselmélet - rács szűrő - egyezések, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-018-538-y |
| Online Access: | http://acta.bibl.u-szeged.hu/66321 |