Topological representation for implication algebras
In this paper we give a description of an implication algebra A as a union of a unique family of filters of a suitable Boolean algebra Bo(A), called the Boolean closure of A. From this representation we obtain a notion of topological implication space and we give a dual equivalence based in the Ston...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/95363 |
| Acesso em linha: | http://hdl.handle.net/11336/95363 |
| Access Level: | acceso abierto |
| Palavra-chave: | BOOLEAN ALGEBRAS BOOLEAN SPACES DUAL CATEGORICAL EQUIVALENCE IMPLICATION ALGEBRAS IMPLICATION SPACES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | In this paper we give a description of an implication algebra A as a union of a unique family of filters of a suitable Boolean algebra Bo(A), called the Boolean closure of A. From this representation we obtain a notion of topological implication space and we give a dual equivalence based in the Stone representation for Boolean algebras. As an application we provide the implication space of all free implication algebras. |
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