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On the number of join-irreducibles in a congruence representation of a finite distributive lattice

✍ Scribed by G. Grätzer; F. Wehrung

Publisher
Springer
Year
2003
Tongue
English
Weight
187 KB
Volume
49
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES

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