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Topological representations of distributive hypercontinuous lattices

✍ Scribed by Xiaoquan Xu; Jinbo Yang


Publisher
Coastal and Estuarine Research Federation
Year
2009
Tongue
English
Weight
144 KB
Volume
30
Category
Article
ISSN
1860-6261

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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