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Finite distributive lattices are congruence lattices of almost-geometric lattices

✍ Scribed by Gábor Czédli; E. Tamás Schmidt

Publisher
Springer
Year
2011
Tongue
English
Weight
343 KB
Volume
65
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES

Complete Congruence Lattices of Complete
Complete Congruence Lattices of Complete Distributive Lattices
✍ G. Gratzer; E.T. Schmidt 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 984 KB

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

A note on “small representations of fini
A note on “small representations of finite distributive lattices as congruence lattices”
✍ Yong Zhang 📂 Article 📅 1996 🏛 Springer Netherlands 🌐 English ⚖ 128 KB

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