Bulletin de la Société Royale des Sciences de Liège Bulletin de la Société Royale des Sciences de Liège -  Volume 77 - Année 2008 

Priestley duality for distributive semilattices

Georges HANSOUL, 

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

Claire POUSSART, 

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

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.

Pour citer cet 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 : http://popups.ulg.be/0037-9565/index.php?id=613.