Priestley duality for some algebras with a negation operator

Authors

  • Sergio A. Celani

DOI:

https://doi.org/10.11575/cdm.v2i2.61973

Abstract

In \cite{Celani} it was introduced the variety of $\lnot$-lattices as bounded distributive lattice $\boldsymbol{A}$ endowed with a unary operation $\lnot$, satisfying the axioms $\lnot0\approx1$ and $\lnot\left( a\vee b\right) \approx\lnot a\wedge\lnot b$. In this paper we shall apply the Priestley duality developed in \cite{Celani} to give a unified, short and self-contained Priestley duality for semi-De Morgan algebras, demi-$p$-lattices, almost $p$-lattices, and weak Stone algebras.

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Published

2007-11-02

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Section

Articles