Priestley Style Duality for Distributive Meet-semilattices

被引：0
|
作者：
Guram Bezhanishvili
Ramon Jansana
机构：
[1] New Mexico State University,Department of Mathematical Sciences
[2] Universitat de Barcelona,Dept. Lògica, Història i Filosofia de la Ciència
来源：
Studia Logica | 2011年 / 98卷
关键词：
Distributive meet-semilattices; distributive lattices; duality theory;
D O I：
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学科分类号：
摘要：
We generalize Priestley duality for distributive lattices to a duality for distributive meet-semilattices. On the one hand, our generalized Priestley spaces are easier to work with than Celani’s DS-spaces, and are similar to Hansoul’s Priestley structures. On the other hand, our generalized Priestley morphisms are similar to Celani’s meet-relations and are more general than Hansoul’s morphisms. As a result, our duality extends Hansoul’s duality and is an improvement of Celani’s duality.
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页码：83 / 122
页数：39
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