On Raney's theorems for completely distributive complete lattices
Gabriele H. Greco (1988)
Colloquium Mathematicae
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Displaying similar documents to “Finite-distributive atomistic lattices”
On Raney's theorems for completely distributive complete lattices
On forbidden configuration of -distributive lattices
Vinayak Joshi (2009)
Mathematica Bohemica
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In this paper we obtain the forbidden configuration for 0-distributive lattices.
Completely distributive latices
M. Lambrou (1983)
Fundamenta Mathematicae
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Characterization of the order induced by uninorm with the underlying drastic product or drastic sum
Zhi-qiang Liu (2024)
Kybernetika
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In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained.
Metrizable completely distributive lattices
Zhang De-Xue (1997)
Commentationes Mathematicae Universitatis Carolinae
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The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.