Free algebras in varieties of BL-algebras generated by BLn-chains
- Autores
- Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar
- Año de publicación
- 2006
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Cignoli, Roberto Leonardo Oscar. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina - Materia
-
BL-ALGEBRAS
BOOLEAN PRODUCTS
FREE ALGEBRAS
HOOPS
MOISIL ALGEBRAS
RESIDUATED LATTICES - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/88437
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Free algebras in varieties of BL-algebras generated by BLn-chainsBusaniche, ManuelaCignoli, Roberto Leonardo OscarBL-ALGEBRASBOOLEAN PRODUCTSFREE ALGEBRASHOOPSMOISIL ALGEBRASRESIDUATED LATTICEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Free 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.Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Cignoli, Roberto Leonardo Oscar. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaCambridge University Press2006-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88437Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar; Free algebras in varieties of BL-algebras generated by BLn-chains; Cambridge University Press; Journal Of The Australian Mathematical Society; 80; 3; 6-2006; 419-4391446-78871446-8107CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/free-algebras-in-varieties-of-blalgebras-generated-by-a-blnchain/D160F446B265A0F7C3E3943FBC3AA4C7info:eu-repo/semantics/altIdentifier/doi/10.1017/S1446788700014117info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:22:20Zoai:ri.conicet.gov.ar:11336/88437instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:22:20.651CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Free algebras in varieties of BL-algebras generated by BLn-chains |
title |
Free algebras in varieties of BL-algebras generated by BLn-chains |
spellingShingle |
Free algebras in varieties of BL-algebras generated by BLn-chains Busaniche, Manuela BL-ALGEBRAS BOOLEAN PRODUCTS FREE ALGEBRAS HOOPS MOISIL ALGEBRAS RESIDUATED LATTICES |
title_short |
Free algebras in varieties of BL-algebras generated by BLn-chains |
title_full |
Free algebras in varieties of BL-algebras generated by BLn-chains |
title_fullStr |
Free algebras in varieties of BL-algebras generated by BLn-chains |
title_full_unstemmed |
Free algebras in varieties of BL-algebras generated by BLn-chains |
title_sort |
Free algebras in varieties of BL-algebras generated by BLn-chains |
dc.creator.none.fl_str_mv |
Busaniche, Manuela Cignoli, Roberto Leonardo Oscar |
author |
Busaniche, Manuela |
author_facet |
Busaniche, Manuela Cignoli, Roberto Leonardo Oscar |
author_role |
author |
author2 |
Cignoli, Roberto Leonardo Oscar |
author2_role |
author |
dc.subject.none.fl_str_mv |
BL-ALGEBRAS BOOLEAN PRODUCTS FREE ALGEBRAS HOOPS MOISIL ALGEBRAS RESIDUATED LATTICES |
topic |
BL-ALGEBRAS BOOLEAN PRODUCTS FREE ALGEBRAS HOOPS MOISIL ALGEBRAS RESIDUATED LATTICES |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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. Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina Fil: Cignoli, Roberto Leonardo Oscar. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina |
description |
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. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-06 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/88437 Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar; Free algebras in varieties of BL-algebras generated by BLn-chains; Cambridge University Press; Journal Of The Australian Mathematical Society; 80; 3; 6-2006; 419-439 1446-7887 1446-8107 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/88437 |
identifier_str_mv |
Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar; Free algebras in varieties of BL-algebras generated by BLn-chains; Cambridge University Press; Journal Of The Australian Mathematical Society; 80; 3; 6-2006; 419-439 1446-7887 1446-8107 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/free-algebras-in-varieties-of-blalgebras-generated-by-a-blnchain/D160F446B265A0F7C3E3943FBC3AA4C7 info:eu-repo/semantics/altIdentifier/doi/10.1017/S1446788700014117 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Cambridge University Press |
publisher.none.fl_str_mv |
Cambridge University Press |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844614214442811392 |
score |
13.070432 |