A topological duality for tense θ -valued Łukasiewicz–Moisil algebras
In 2011, tense θ-valued Łukasiewicz–Moisil algebras (or tense LM θ -algebras) were introduced by Chiriţă as an algebraic counterpart of the tense θ-valued Moisil propositional logic. In this paper we develop a topological duality for these algebras. In order to achieve this we extend the topological...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/151333 |
| Acceso en línea: | http://hdl.handle.net/11336/151333 |
| Access Level: | acceso abierto |
| Palabra clave: | TENSE Θ-VALUED ŁUKASIEWICZ–MOISIL ALGEBRAS TOPOLOGICAL DUALITY Θ-VALUED ŁUKASIEWICZ–MOISIL ALGEBRAS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In 2011, tense θ-valued Łukasiewicz–Moisil algebras (or tense LM θ -algebras) were introduced by Chiriţă as an algebraic counterpart of the tense θ-valued Moisil propositional logic. In this paper we develop a topological duality for these algebras. In order to achieve this we extend the topological duality given in Figallo et al. (J Mult Valued Logic Soft Comput 16(3–5):303–322, 2010), for θ-valued Łukasiewicz–Moisil algebras. This new topological duality enables us to describe the tense LM θ -congruences and the tense θLM θ -congruences on a tense LM θ -algebra and also to determine some properties of these algebras. |
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