Artículo

Topological representation for monadic implication algebras

Abad, Manuel; Cimadamore, Cecilia RossanaIcon ; Díaz Varela, José PatricioIcon
Fecha de publicación: 17/01/2009
Editorial: De Gruyter
Revista: Central European Journal of Mathematics - (Online)
ISSN: 1895-1074
e-ISSN: 1644-3616
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.
Palabras clave: Dual Categorical Equivalence , Implication Algebra , Implication Spaces , Monadic Boolean Algebra
 
Archivos asociados
Thumbnail
 
Tamaño: 211.2Kb
Formato: PDF
.
Licencia
info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/80664
DOI: http://dx.doi.org/10.2478/s11533-009-0002-y
URL: https://www.degruyter.com/view/j/math.2009.7.issue-2/s11533-009-0002-y/s11533-00
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Abad, Manuel; Cimadamore, Cecilia Rossana; Díaz Varela, José Patricio; Topological representation for monadic implication algebras; De Gruyter; Central European Journal of Mathematics - (Online); 7; 2; 17-1-2009; 299-309
Compartir
Altmétricas