Distributive lattices whose congruence lattice is Stone.
Heleyová, Z. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Representation of certain classes of distributive lattices by sections of sheaves.”
Distributive lattices whose congruence lattice is Stone.
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-distributive function lattices
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It is known that for a nonempty topological space and a nonsingleton complete lattice endowed with the Scott topology, the partially ordered set of all continuous functions from into is a continuous lattice if and only if both and the open set lattice are continuous lattices. This result extends to certain classes of -distributive lattices, where is a subset system replacing the system of all directed subsets (for which the -distributive complete lattices are just...
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A rotational lattice is a structure where is a lattice and is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.
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R. Subbarayan, A. Vethamanickam (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we prove that Eulerian lattices satisfying some weaker conditions for lattices or some weaker conditions for 0-distributive lattices become Boolean.