Priestley duality for some algebras with a negation operator

SERGIO ARTURO CELANI

Contributions to Discrete Mathematics

University of Calgary, Canada,

Lugar: Calgary, Canada,; Año: 2007 vol. 2 p. 205 - 213

1715-0868

In \cite{Celani} it was introduced the variety of $\lnot$-lattices as boundeddistributive 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 representationand the duality developed in \cite{Celani} to give a short representation forsemi-De Morgan algebras, demi-$p$-lattices, almost $p$-lattices, and weakStone algebras.