INMABB 05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
capítulos de libros
Título:
A Duality for Three-valued Lukasiewicz Delta-implication Algebras
Autor/es:
ABAD MANUEL; CIMADAMORE CECILIA; DÍAZ VARELA JOSÉ PATRICIO
Libro:
"The Many Sides of Logic" in "Studies in Logic" Series.
Editorial:
College Publications, London.
Referencias:
Lugar: London; Año: 2009; p. 339 - 352
Resumen:
abstract. In this work we give a topological representation forthree-valued Lukasiewicz -implication algebras. Every three-valued Lukasiewicz -implication algebra is represented as a union of aunique family of implication lters of a suitable three-valued Lukasie-wicz algebra. Inspired in this representation, we introduce the notionof topological three-valued implication space, and we prove a dualequivalence. As an application, we describe the three-valued implica-tion space of free three-valued Lukasiewicz -implication algebras.
