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  1. A Duality for the Algebras of a Łukasiewicz N + 1-Valued Modal System.Bruno Teheux - 2007 - Studia Logica 87 (1):13-36.
    In this paper, we develop a duality for the varieties of a Łukasiewicz n + 1-valued modal System. This duality is an extension of Stone duality for modal algebras. Some logical consequences (such as completeness results, correspondence theory...) are then derived and we propose some ideas for future research.
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  • MV-Algebras, Infinite Dimensional Polyhedra, and Natural Dualities.Leonardo M. Cabrer & Luca Spada - 2017 - Archive for Mathematical Logic 56 (1-2):21-42.
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  • Restricted Priestley Dualities and Discriminator Varieties.B. A. Davey & A. Gair - 2017 - Studia Logica 105 (4):843-872.
    Anyone who has ever worked with a variety \ of algebras with a reduct in the variety of bounded distributive lattices will know a restricted Priestley duality when they meet one—but until now there has been no abstract definition. Here we provide one. After deriving some basic properties of a restricted Priestley dual category \ of such a variety, we give a characterisation, in terms of \, of finitely generated discriminator subvarieties of \. As an application of our characterisation, we (...)
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  • A Preliminary Study of MV-Algebras with Two Quantifiers Which Commute.Aldo Figallo Orellano - 2016 - Studia Logica 104 (5):931-956.
    In this paper we investigate the class of MV-algebras equipped with two quantifiers which commute as a natural generalization of diagonal-free two-dimensional cylindric algebras. In the 40s, Tarski first introduced cylindric algebras in order to provide an algebraic apparatus for the study of classical predicate calculus. The diagonal–free two-dimensional cylindric algebras are special cylindric algebras. The treatment here of MV-algebras is done in terms of implication and negation. This allows us to simplify some results due to Di Nola and Grigolia (...)
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  • The Prime Spectrum of an MV‐Algebra.L. P. Belluce, Antonio Di Nola & Salvatore Sessa - 1994 - Mathematical Logic Quarterly 40 (3):331-346.
    In this paper we show that the prime ideal space of an MV-algebra is the disjoint union of prime ideal spaces of suitable local MV-algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well.
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  • A Simplified Duality for Implicative Lattices and L-Groups.Nestor G. Martinez - 1996 - Studia Logica 56 (1-2):185 - 204.
    A topological duality is presented for a wide class of lattice-ordered structures including lattice-ordered groups. In this new approach, which simplifies considerably previous results of the author, the dual space is obtained by endowing the Priestley space of the underlying lattice with two binary functions, linked by set-theoretical complement and acting as symmetrical partners. In the particular case of l-groups, one of these functions is the usual product of sets and the axiomatization of the dual space is given by very (...)
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