Finite-distributive atomistic lattices
Janowitz, M.F., Coté, N.H. (1976)
Portugaliae mathematica
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Displaying similar documents to “On Raney's theorems for completely distributive complete lattices”
Finite-distributive atomistic lattices
On forbidden configuration of -distributive lattices
Vinayak Joshi (2009)
Mathematica Bohemica
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In this paper we obtain the forbidden configuration for 0-distributive lattices.
Metrizable completely distributive lattices
Zhang De-Xue (1997)
Commentationes Mathematicae Universitatis Carolinae
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The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.
Meet-distributive lattices have the intersection property
Henri Mühle (2023)
Mathematica Bohemica
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This paper is an erratum of H. Mühle: Distributive lattices have the intersection property, Math. Bohem. (2021). Meet-distributive lattices form an intriguing class of lattices, because they are precisely the lattices obtainable from a closure operator with the so-called anti-exchange property. Moreover, meet-distributive lattices are join semidistributive. Therefore, they admit two natural secondary structures: the core label order is an alternative order on the lattice elements and...
Completely distributive latices
M. Lambrou (1983)
Fundamenta Mathematicae
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Primes, coprimes and multiplicative elements
Melvin F. Janowitz, Robert C. Powers, Thomas Riedel (1999)
Commentationes Mathematicae Universitatis Carolinae
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The purpose of this paper is to study conditions under which the restriction of a certain Galois connection on a complete lattice yields an isomorphism from a set of prime elements to a set of coprime elements. An important part of our study involves the set on which the way-below relation is multiplicative.