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Primes, coprimes and multiplicative elements

Melvin F. Janowitz, Robert C. Powers, Thomas 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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