INVESTIGADORES
CELANI Sergio Arturo
artículos
Título:
Monotonic Distributive Semilattices
Autor/es:
CELANI, SERGIO A.; MENCHÓN, MA. PAULA
Revista:
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
Editorial:
SPRINGER
Referencias:
Año: 2019 p. 1 - 24
ISSN:
0167-8094
Resumen:
In the study of algebras related to non-classical logics, (distributive) semilattices are always present in the background. For example, the algebraic semantic of the {→, ∧, ⊤}-fragment of intuitionistic logic is the variety of implicative meet-semilattices (Chellas 1980; Hansen 2003). In this paper we introduce and study the class of distributive meet-semilattices endowed with a monotonic modal operator m. We study the representation theory of these algebras using the theory of canonical extensions and we give a topological duality for them. Also, we show how our new duality extends to some particular subclasses.
