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Distributive ordered sets and relative pseudocomplements

100%

Niederle J.

Discussiones Mathematicae - General Algebra and Applications

2006

tom 26

nr 2

163-181

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)) be Brouwerian. It turns out that the two concepts are the same for finite ordered sets. Further, the so-called antiblocking property of distributive lattices is generalized to distributive ordered sets.

The category of nonindexed algebras and weak homomorphisms

38%

Niederle J., Polák L.

Colloquium Mathematicum

1979

tom 41

nr 2

167-179

Ograniczanie wyników

1 Colloquium Mathematicum

1 Discussiones Mathematicae - General Algebra and Applications

2 Niederle J.

1 Polák L.

1 2006

1 1979

Wyniki wyszukiwania

Distributive ordered sets and relative pseudocomplements

The category of nonindexed algebras and weak homomorphisms