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Primes, coprimes and multiplicative elements

Melvin F. JanowitzRobert C. PowersThomas Riedel — 1999

Commentationes Mathematicae Universitatis Carolinae

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.

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