On complete congruence lattices of join-infinite distributive lattices
β Scribed by Jorge Picado
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 70 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In 1983. Wille raised the question: Is elery complete lattice \(L\) isomorphic to the lattice of complete congruence relations of a suitable complete lattice K? In 1988 . this was answered in the affirmative by the first author. A number of papers have been published on this problem by Freese, Johns
Schmidt proved that every distributive lattice with n join-irreducible elements can be represented as the congruence lattice of a "small" lattice I,, that is, a lattice L with O(r?) elements. G. Gratzer, I. Rival, and N. Zaguia proved that, for any o < 2, O(n\*) can not be improved to O(rF). In this