Pseudocomplemented ordered sets

Radomír Halaš

Displaying similar documents to “Pseudocomplemented ordered sets”

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))...

On infinitely distributive ordered sets

Josef Niederle (2005)

Mathematica Slovaca

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Partially Ordered Sets And Some Fixed Point Theorems

Milan R. Tasković (1980)

Publications de l'Institut Mathématique

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On a property of partially ordered sets.

S. Todorcevic (1978)

Publications de l'Institut Mathématique [Elektronische Ressource]

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Relatively complemented ordered sets

Ivan Chajda, Zuzana Morávková (2000)

Discussiones Mathematicae - General Algebra and Applications

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We investigate conditions for the existence of relative complements in ordered sets. For relatively complemented ordered sets with 0 we show that each element b ≠ 0 is the least one of the set of all upper bounds of all atoms contained in b.