Free algebras in varieties of BL-algebras generated by BLn-chains
Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and fre...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/88437 |
| Acceso en línea: | http://hdl.handle.net/11336/88437 |
| Access Level: | acceso abierto |
| Palabra clave: | BL-ALGEBRAS BOOLEAN PRODUCTS FREE ALGEBRAS HOOPS MOISIL ALGEBRAS RESIDUATED LATTICES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and free algebras in the variety of basic hoops generated by B. The Boolean products are taken over the Stone spaces of the Boolean subalgebras of idempotents of free algebras in the variety of MV-algebras generated by L N. |
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