Conditions for permutability of congruences in implication algebras

In this paper we give conditions on an implication algebra A so that two congruences θ1, θ2 on A permute, i.e. θ1 ○ θ2 = θ2 ○ θ1. We also provide simpler conditions for permutability in finite implication algebras. Finally we present some applications of these characterizations.

Detalles Bibliográficos
Autores: Castaño, Diego Nicolás, Díaz Varela, José Patricio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/79649
Acceso en línea:http://hdl.handle.net/11336/79649
Access Level:acceso abierto
Palabra clave:Congruences
Implication Algebras
Permutability
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper we give conditions on an implication algebra A so that two congruences θ1, θ2 on A permute, i.e. θ1 ○ θ2 = θ2 ○ θ1. We also provide simpler conditions for permutability in finite implication algebras. Finally we present some applications of these characterizations.