Canonicity in subvarieties of BL-algebras

Autores
Busaniche, Manuela; Cabrer, Leonardo Manuel
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.
Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Cabrer, Leonardo Manuel. Universidad Nacional del Centro de la Provincia de Buenos Aires; Argentina
Materia
Bl-Algebras
Canonicity
Residuated Lattices
Completions of Algebras
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:11336/75198
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Canonicity in subvarieties of BL-algebrasBusaniche, ManuelaCabrer, Leonardo ManuelBl-AlgebrasCanonicityResiduated LatticesCompletions of Algebrashttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Cabrer, Leonardo Manuel. Universidad Nacional del Centro de la Provincia de Buenos Aires; ArgentinaBirkhauser Verlag Ag2009-09info: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/11336/75198Busaniche, Manuela; Cabrer, Leonardo Manuel; Canonicity in subvarieties of BL-algebras; Birkhauser Verlag Ag; Algebra Universalis; 62; 4; 9-2009; 375-3970002-5240CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/6278816k342gkn18/?p=c639cb9432704efcb63a4c49ff8f72f9&pi=5info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-010-0055-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:47:11Zoai:ri.conicet.gov.ar:11336/75198instacron: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 10:47:11.887CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Canonicity in subvarieties of BL-algebras
title Canonicity in subvarieties of BL-algebras
spellingShingle Canonicity in subvarieties of BL-algebras
Busaniche, Manuela
Bl-Algebras
Canonicity
Residuated Lattices
Completions of Algebras
title_short Canonicity in subvarieties of BL-algebras
title_full Canonicity in subvarieties of BL-algebras
title_fullStr Canonicity in subvarieties of BL-algebras
title_full_unstemmed Canonicity in subvarieties of BL-algebras
title_sort Canonicity in subvarieties of BL-algebras
dc.creator.none.fl_str_mv Busaniche, Manuela
Cabrer, Leonardo Manuel
author Busaniche, Manuela
author_facet Busaniche, Manuela
Cabrer, Leonardo Manuel
author_role author
author2 Cabrer, Leonardo Manuel
author2_role author
dc.subject.none.fl_str_mv Bl-Algebras
Canonicity
Residuated Lattices
Completions of Algebras
topic Bl-Algebras
Canonicity
Residuated Lattices
Completions of Algebras
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.
Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Cabrer, Leonardo Manuel. Universidad Nacional del Centro de la Provincia de Buenos Aires; Argentina
description We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.
publishDate 2009
dc.date.none.fl_str_mv 2009-09
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/11336/75198
Busaniche, Manuela; Cabrer, Leonardo Manuel; Canonicity in subvarieties of BL-algebras; Birkhauser Verlag Ag; Algebra Universalis; 62; 4; 9-2009; 375-397
0002-5240
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75198
identifier_str_mv Busaniche, Manuela; Cabrer, Leonardo Manuel; Canonicity in subvarieties of BL-algebras; Birkhauser Verlag Ag; Algebra Universalis; 62; 4; 9-2009; 375-397
0002-5240
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/6278816k342gkn18/?p=c639cb9432704efcb63a4c49ff8f72f9&pi=5
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-010-0055-6
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 Birkhauser Verlag Ag
publisher.none.fl_str_mv Birkhauser Verlag Ag
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 13.070432

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