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Georges HANSOUL & Claire POUSSART

Priestley duality for distributive semilattices

(Volume 77 - Année 2008)
Article
Open Access
Mots-clés : Distributive semilattice, Free distributive lattice over a distributive semilattice, Priestley duality.

Abstract

In this paper, we extend Priestley duality for bounded distributive lattices to all bounded distributive semilattices.  We show that we cannot take the prime spectrum as Priestley dual but have to turn to a suitable weakening of the concept of prime ideal.

To cite this article

Georges HANSOUL & Claire POUSSART, «Priestley duality for distributive semilattices», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 77 - Année 2008, 104 - 119 URL : https://popups.uliege.be/0037-9565/index.php?id=613.

About: Georges HANSOUL

University of Liege, Department of mathematics, Grande Traverse 12, Liège 4000, Belgium, G.Hansoul@ulg.ac.be

About: Claire POUSSART

University of Liege, Department of mathematics, Grande Traverse 12, Liège 4000, Belgium, cpoussart@ulg.ac.be