INVESTIGADORES
CELANI Sergio Arturo
artículos
Título:
Duality for finite Hilbert algebras
Autor/es:
SERGIO ARTURO CELANI AND LEONARDO CABRER
Revista:
DISCRETE MATHEMATICS
Editorial:
ELSEVIER
Referencias:
Año: 2005 vol. 305 p. 74 - 99
ISSN:
0012-365X
Resumen:
In this work we shall give a characterization of the Hilbert algebras given by the order and we willprove a duality for finite Hilbert algebras by means of finite ordered sets endowed with a distinguishedset of subsets. We will also study the case when the finite Hilbert algebras are join-semilattices ormeet-semilattices relative to the natural order defined by the implication. Finally we will prove thatHilbert do not admit a natural duality.
