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A note on representation of lattices by weak congruences

✍ Scribed by Šešelja, Branimir; Stepanović, Vanja; Tepavčević, Andreja

Book ID
118777436
Publisher
Springer
Year
2012
Tongue
English
Weight
217 KB
Volume
68
Category
Article
ISSN
0002-5240

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✍ 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