Results 201 to 210 of about 373 (231)

Urysohn closedness on completely distributive lattices

Fuzzy Sets and Systems, 2004
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Jinming Fang, Yueli Yue
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Free Distributive Completions of Partial Complete Lattices

Order, 1997
First the author gives some basic definitions and further provides a description of embedding of partial complete lattices in suitable concept lattices and its use in concept exploration. He discusses in which sense these concept lattices are freely generated by the partial complete lattices ``in the most distributive way''.
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Metrizability Conditions for Completely Distributive Lattices

Canadian Mathematical Bulletin, 1983
AbstractA lattice is said to be essentially metrizable if it is an essential extension of a countable lattice. The main result of this paper is that for a completely distributive lattice the following conditions are equivalent: (1) the interval topology on L is metrizable, (2) L is essentially metrizable, (3) L has a doubly ordergenerating sublattice, (
Gierz, G., Lawson, J. D., Stralka, A. R.
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Complete almost distributive lattices

Asian-European Journal of Mathematics, 2014
In this paper, we introduce the concept of a complete almost distributive lattice (ADL), a zone and a dual zone in a complete ADL and derive their important properties.
G. C. Rao, Venugopalam Undurthi
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Algebraic representations of (fuzzy) completely distributive lattices

Fuzzy Sets and Systems
Yueli Yue
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Homomorphisms of complete distributive lattices

Quaestiones Mathematicae, 2000
The category of all complete distributive lattices and their complete homomorphisms is universal, and this is also true for the category of all complete distributive lattices whose morphisms preserve complete joins, finite meets and an additional nullary operation.
Pultr, A, Sichler, J, Trnková, V
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Distributive and completely distributive lattice extensions of ordered sets

International Journal of Algebra and Computation, 2018
It is known that a poset can be embedded into a distributive lattice if, and only if, it satisfies the prime filter separation property. We describe here a class of “prime filter completions” for posets with the prime filter separation property that are completely distributive lattices generated by the poset and preserve existing finite meets and joins.
Wilmari Morton, Clint J. van Alten
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-Distributive and infinitely -distributive t-norms on complete lattices

Fuzzy Sets and Systems, 2005
Abstract A relation between the direct decomposability of an infinitely ∨ -distributive t-norm on a complete lattice L and direct decompositions of the neutral element 1 of L is obtained. Some useful applications of this relation are given.
Funda Karaçal, Djavvat Khadjiev
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Continuous and Completely Distributive Lattices

2014
The study of continuous lattices was initiated by Dana Scott in the late 1960s in order to build mathematical models for certain constructs in theoretical computer science ([638] in LTF), and computational notions and motivations have continued to play a key role in the theory.
Klaus Keimel, Jimmie Lawson
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Compactness and Complete Distributivity for Commutative Subspace Lattices

Journal of the London Mathematical Society, 1990
In this note, we show that if \({\mathcal L}\) is a commutative subspace lattice generated by a completely distributive lattice and finitely many commuting chains, then \({\mathcal L}\) is compact in the strong operator topology if and only if \({\mathcal L}\) is completely distributive.
Davidson, Kenneth R., Pitts, David R.
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