Subdirectly Irreducible IKt-Algebras

The IKt-algebras that we investigate in this paper were introduced in the paper "An algebraic axiomatization of the Ewald’s intuitionistic tense logic" by the first and third author. Now we characterize by topological methods the subdirectly irreducible IKt-algebras and particularly the si...

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Detalles Bibliográficos
Autores: Figallo, Aldo Victorio, Pascual, Inés Beatriz, Pelaitay, Gustavo Andrés
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/158301
Acceso en línea:http://hdl.handle.net/11336/158301
Access Level:acceso abierto
Palabra clave:HEYTING ALGEBRAS
TENSE OPERATORS
IKT-ALGEBRAS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:The IKt-algebras that we investigate in this paper were introduced in the paper "An algebraic axiomatization of the Ewald’s intuitionistic tense logic" by the first and third author. Now we characterize by topological methods the subdirectly irreducible IKt-algebras and particularly the simple IKt-algebras. Finally, we consider the particular cases of finite IKt-algebras and complete IKt-algebras.