Free modal lattices via priestley duality

被引：0
|
作者：
Wegener C.B. [1 ]
机构：
[1] Mathematical Institute, University of Oxford, Oxford OX1 3LB
来源：
Studia Logica | 2002年 / 70卷 / 3期
关键词：
(Free) modal lattice; Opposite Priestley relation; Priestley duality;
D O I：
10.1023/A:1015198213595
中图分类号：
学科分类号：
摘要：
A Priestley duality is developed for the variety Jω of all modal lattices. This is achieved by restricting to Jω a known Priestley duality for the variety of all bounded distributive lattices with a meet-homomorphism. The variety Jω was first studied by R. Beazer in 1986. The dual spaces of free modal lattices are constructed, paralleling P.R. Halmos' construction of the dual spaces of free monadic Boolean algebras and its generalization, by R. Cignoli, to distributive lattices with a quantifier. © 2002 Kluwer Academic Publishers.
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页码：339 / 352
页数：13
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