Prime sequences and distributivity in local Noether lattices

E. Johnson; M. Detlefsen

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Displaying similar documents to “Prime sequences and distributivity in local Noether lattices”

Primary elements in Prüfer lattices

C. Jayaram (2002)

Czechoslovak Mathematical Journal

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In this paper we study primary elements in Prüfer lattices and characterize $α$ -lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.

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.