Functional representation of finitely generated free algebras in subvarieties of BL-algebras
- Autores
- Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely generated free algebra of each of these subvarieties. In this characterization there is a clear insight of the role of the regular and dense elements of the generating chain. As an application, we analyze maximal and prime filters in the free algebra.
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: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Lubomirsky, Noemí. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina - Materia
-
BL-ALGEBRAS
FREE ALGEBRAS
WAJSBERG HOOPS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/129830
Ver los metadatos del registro completo
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Functional representation of finitely generated free algebras in subvarieties of BL-algebrasBusaniche, ManuelaCastiglioni, José LuisLubomirsky, NoemíBL-ALGEBRASFREE ALGEBRASWAJSBERG HOOPShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely generated free algebra of each of these subvarieties. In this characterization there is a clear insight of the role of the regular and dense elements of the generating chain. As an application, we analyze maximal and prime filters in the free algebra.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: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Lubomirsky, Noemí. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaElsevier Science2019-11info: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/11336/129830Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí; Functional representation of finitely generated free algebras in subvarieties of BL-algebras; Elsevier Science; Annals Of Pure And Applied Logic; 171; 2; 11-2019; 1-300168-0072CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0168007219301204info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apal.2019.102757info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:09:58Zoai:ri.conicet.gov.ar:11336/129830instacron: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 10:09:59.236CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
title |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
spellingShingle |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras Busaniche, Manuela BL-ALGEBRAS FREE ALGEBRAS WAJSBERG HOOPS |
title_short |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
title_full |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
title_fullStr |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
title_full_unstemmed |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
title_sort |
Functional representation of finitely generated free algebras in subvarieties of BL-algebras |
dc.creator.none.fl_str_mv |
Busaniche, Manuela Castiglioni, José Luis Lubomirsky, Noemí |
author |
Busaniche, Manuela |
author_facet |
Busaniche, Manuela Castiglioni, José Luis Lubomirsky, Noemí |
author_role |
author |
author2 |
Castiglioni, José Luis Lubomirsky, Noemí |
author2_role |
author author |
dc.subject.none.fl_str_mv |
BL-ALGEBRAS FREE ALGEBRAS WAJSBERG HOOPS |
topic |
BL-ALGEBRAS FREE ALGEBRAS WAJSBERG HOOPS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely generated free algebra of each of these subvarieties. In this characterization there is a clear insight of the role of the regular and dense elements of the generating chain. As an application, we analyze maximal and prime filters in the free algebra. 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: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina Fil: Lubomirsky, Noemí. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina |
description |
Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely generated free algebra of each of these subvarieties. In this characterization there is a clear insight of the role of the regular and dense elements of the generating chain. As an application, we analyze maximal and prime filters in the free algebra. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-11 |
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/11336/129830 Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí; Functional representation of finitely generated free algebras in subvarieties of BL-algebras; Elsevier Science; Annals Of Pure And Applied Logic; 171; 2; 11-2019; 1-30 0168-0072 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/129830 |
identifier_str_mv |
Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí; Functional representation of finitely generated free algebras in subvarieties of BL-algebras; Elsevier Science; Annals Of Pure And Applied Logic; 171; 2; 11-2019; 1-30 0168-0072 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://linkinghub.elsevier.com/retrieve/pii/S0168007219301204 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apal.2019.102757 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
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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1844613984463880192 |
score |
13.070432 |