Applications of Priestley duality in transferring optimal dualities

被引:3
|
作者
Davey B.A. [1 ]
Haviar M. [1 ,2 ,3 ]
机构
[1] Mathematics, La Trobe University
[2] Department of Mathematics, La Trobe University
[3] Department of Mathematics, PDF, M. Bel University
关键词
Endodualisability; Endoprimality; Entailment; Natural duality; Optimal duality; Priestley duality; Retraction;
D O I
10.1007/s11225-005-3236-0
中图分类号
学科分类号
摘要
This paper illustrates how Priestley duality can be used in the transfer of an optimal natural duality from a minimal generating algebra for a quasi-variety to other generating algebras. Detailed calculations are given for the quasi-variety double-struck I signdouble-struck S signℙ(4) of Kleene algebras and the quasi-varieties ℬn of pseudocomplemented distributive lattices (n ≥ 1). © 2004 Kluwer Academic Publishers.
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页码:213 / 236
页数:23
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