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Keywords:
complete lattices; completely distributive lattices; Galois connection; multiplicative elements; way-below relation
complete lattices; completely distributive lattices; Galois connection; multiplicative elements; way-below relation
Summary:
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.
References:
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