Free -distributive lattice over an -element chain.
Monteiro, Luiz, Abad, Manuel, Zander, Marta (2004)
Portugaliae Mathematica. Nova Série
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Displaying similar documents to “Power-ordered sets”
Free -distributive lattice over an -element chain.
On infinitely distributive ordered sets
Josef Niederle (2005)
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Distributive ordered sets and relative pseudocomplements
Josef Niederle (2006)
Discussiones Mathematicae - General Algebra and Applications
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Brouwerian ordered sets generalize Brouwerian lattices. The aim of this paper is to characterize (α)-complete Brouwerian ordered sets in a manner similar to that used previously for pseudocomplemented, Stone, Boolean and distributive ordered sets. The sublattice (G(P)) in the Dedekind-Mac~Neille completion (DM(P)) of an ordered set (P) generated by (P) is said to be the characteristic lattice of (P). We can define a stronger notion of Brouwerianicity by demanding that both (P) and (G(P))...
Distributive partially ordered sets
R. Hickman, G. Monro (1984)
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Normal autometrized lattice ordered algebras
Tomáš Kovář (2000)
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Complete distributivity of lattice ordered groups and of vector lattices
Ján Jakubík (2001)
Czechoslovak Mathematical Journal
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In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector lattice.