On compactness of lattices.
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Vlad, Carmen D. (2005)
International Journal of Mathematics and Mathematical Sciences
Arnautov, V.I. (2006)
Sibirskij Matematicheskij Zhurnal
Diego Vaggione (1996)
Mathematica Bohemica
A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.
Vlad, Carmen (1998)
International Journal of Mathematics and Mathematical Sciences
Yallaoui, El-Bachir (1993)
International Journal of Mathematics and Mathematical Sciences
Jan Paseka, Bohumil Šmarda (1988)
Acta Universitatis Carolinae. Mathematica et Physica
Judita Lihová (1979)
Archivum Mathematicum
Judita Lihová (1979)
Archivum Mathematicum
P. V. Ramana Murty, Teresa Engelbert (1985)
Mathématiques et Sciences Humaines
D. Van der Zypen (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Jan Florek (2010)
Banach Center Publications
On a non-trivial partially ordered real vector space (V,≤) the orthogonality relation is defined by incomparability and ζ(V,⊥) is a complete lattice of double orthoclosed sets. We say that A ⊆ V is an orthogonal set when for all a,b ∈ A with a ≠ b, we have a ⊥ b. In our earlier papers we defined an integrally open ordered vector space and two closure operations A → D(A) and . It was proved that V is integrally open iff for every orthogonal set A ⊆ V. In this paper we generalize this result. We...
Wibisono, Setiawati (1997)
International Journal of Mathematics and Mathematical Sciences
Grassi, Peter M. (1993)
International Journal of Mathematics and Mathematical Sciences
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