Displaying similar documents to “On Raney's theorems for completely distributive complete 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.

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.