Some properties of strongly normal lattices
Al-Ezeh, H. (1992)
Portugaliae mathematica
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Displaying similar documents to “Concept lattices unify the Birkhoff representation theorems”
Some properties of strongly normal lattices
On a characterization of the lattice of all ideals of a Boolean ring
Leopoldo Nachbin (1949)
Fundamenta Mathematicae
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Completely distributive latices
M. Lambrou (1983)
Fundamenta Mathematicae
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Vector lattices, Boolean rings and simple functions
Topping, D. (1964)
Portugaliae mathematica
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Zero-dimensional Dugundji spaces admit profinite lattice structures
Lutz Heindorf (1992)
Commentationes Mathematicae Universitatis Carolinae
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We prove what the title says. It then follows that zero-dimensional Dugundji space are supercompact. Moreover, their Boolean algebras of clopen subsets turn out to be semigroup algebras.
A characterization of complete atomic Boolean algebra.
Francesc Esteva (1977)
Stochastica
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In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.