INVESTIGADORES
CELANI Sergio Arturo
artículos
Título:
Weak-quasi-Stone Algebras
Autor/es:
SERGIO ARTURO CELANI AND LEONARDO CABRER
Revista:
MATHEMATICAL LOGIC QUARTERLY
Editorial:
WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Referencias:
Año: 2009 vol. 55 p. 288 - 298
ISSN:
0942-5616
Resumen:
In this paper we shall introduce the variety $mathcal{WQS}$ of weak-quasi-Stone algebras as a generalization of the variety $mathcal{QS}$ ofquasi-Stone algebras introduced in cite{Sank}. We shall apply the Priestleyduality developed in cite{Celani} for the variety $mathcal{N}$ of $lnot-lattices to give a duality for $mathcal{WQS}$. We prove that a weak-quasi-Stone algebra is characterized by a property of the set of its regular elements, as well by mean of some principal lattice congruences. We will also determine the simple and subdirectly irreducible algebras.
