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Applications of Priestley duality in transferring optimal dualities
Studia Logica 78 (1-2):213-236 (2004)
Abstract
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 of Kleene algebras and the quasi-varieties n of pseudocomplemented distributive lattices (n 1).Other Versions
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Citations of this work
Restricted Priestley Dualities and Discriminator Varieties.B. A. Davey & A. Gair - 2017 - Studia Logica 105 (4):843-872.
References found in this work
Stone M. H.. The theory of representations for Boolean algebras. Transactions of the American Mathematical Society, vol. 40, pp. 37–111. [REVIEW]M. H. Stone - 1936 - Journal of Symbolic Logic 1 (3):118-119.
Optimal natural dualities for varieties of Heyting algebras.B. A. Davey & H. A. Priestley - 1996 - Studia Logica 56 (1-2):67-96.
Natural dualities for varieties ofn-valued łukasiewicz algebras.H. A. Priestley - 1995 - Studia Logica 54 (3):333 - 370.
The syntax and semantics of entailment in duality theory.B. A. Davey, M. Haviar & H. A. Priestley - 1995 - Journal of Symbolic Logic 60 (4):1087-1114.
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