Maximal MV-algebras
In this paper we define maximal $MV$-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal $MV$-algebra is semilocal, then we characterize a maximal $MV$-algebras as finite direct product of local maximal $MV$-algebras.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1997 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099/3483 |
| Acceso en línea: | https://hdl.handle.net/2099/3483 |
| Access Level: | acceso abierto |
| Palabra clave: | MV-algebras Lògica algebraica Anells commutatius Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic |
| Sumario: | In this paper we define maximal $MV$-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal $MV$-algebra is semilocal, then we characterize a maximal $MV$-algebras as finite direct product of local maximal $MV$-algebras. |
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