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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88437
Acceder
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network_name_str CONICET Digital (CONICET)
spelling 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 Técnicas2025-10-15T15:19:28Zoai: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:34982025-10-15 15:19:29.043CONICET 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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score 13.22299

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