On certain characterizations of distributive lattices
K. Głazek (1968)
Colloquium Mathematicae
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Displaying similar documents to “Ordered topological spaces and the coproduct of bounded distributive lattices”
On certain characterizations of distributive lattices
T-independence in distributive lattices
Jerzy Płonka, Werner Poguntke (1976)
Colloquium Mathematicae
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Dependence of finiteness conditions in distributive lattices.
Sherwin P. Avann (1964)
Mathematische Zeitschrift
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Completeness and compactness of lattices
B. Węglorz (1967)
Colloquium Mathematicae
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Concerning the independence in lattices
Edward Marczewski (1963)
Colloquium Mathematicum
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Stone lattices: a topological approach
H. Priestley (1974)
Fundamenta Mathematicae
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Homomorphisms of Intensionally Complemented Distributive Lattices.
J.M. DUNN, N.D.JR. BELNAP (1968)
Mathematische Annalen
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On some ternary relations in lattices
R. Padmanabhan (1966)
Colloquium Mathematicae
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Representations of Distributive Lattices as Lattices of Functions.
F.W. ANDERSON, R.L. BLAIR (1961)
Mathematische Annalen
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A representation of relatively complemented distributive lattices
David C. Feinstein (1975)
Colloquium Mathematicae
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Distributive lattices with a given skeleton
Joanna Grygiel (2004)
Discussiones Mathematicae - General Algebra and Applications
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We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.
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))...
An equational axiomatization of Post Almost Distributive Lattices
Naveen Kumar Kakumanu, Kar Ping Shum (2016)
Discussiones Mathematicae General Algebra and Applications
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In this paper, we prove that the class of P₂-Almost Distributive Lattices and Post Almost Distributive Lattices are equationally definable.