Displaying similar documents to “Convex isomorphic ordered sets”

Pseudocomplemented ordered sets

Radomír Halaš (1993)

Archivum Mathematicum

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The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordered sets and to prove some basic results holding for 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))...