Representation of BL-algebras with finite independent spectrum
A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among other...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/31882 |
| Acceso en línea: | http://hdl.handle.net/11336/31882 |
| Access Level: | acceso abierto |
| Palabra clave: | Bl-Algebras Ordinal Sum Finite Spectrum Residuated Lattices Poset Product Wajsberg Hoops https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among others. Our representation constitutes a generalization of the ordinal sum construction, since we decompose each algebra in terms of totally ordered Wajsberg hoops. |
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