Representation of BL-algebras with finite independent spectrum

Autores
Aguzzoli, Stefano; Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among others. Our representation constitutes a generalization of the ordinal sum construction, since we decompose each algebra in terms of totally ordered Wajsberg hoops.
Fil: Aguzzoli, Stefano. Università degli Studi di Milano; Italia
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; Argentina
Fil: Lubomirsky, Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Materia
Bl-Algebras
Ordinal Sum
Finite Spectrum
Residuated Lattices
Poset Product
Wajsberg Hoops
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:11336/31882
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/31882
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Representation of BL-algebras with finite independent spectrumAguzzoli, StefanoBusaniche, ManuelaCastiglioni, José LuisLubomirsky, NoemíBl-AlgebrasOrdinal SumFinite SpectrumResiduated LatticesPoset ProductWajsberg Hoopshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among others. Our representation constitutes a generalization of the ordinal sum construction, since we decompose each algebra in terms of totally ordered Wajsberg hoops.Fil: Aguzzoli, Stefano. Università degli Studi di Milano; ItaliaFil: 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; ArgentinaFil: Lubomirsky, Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaElsevier2016-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31882Lubomirsky, Noemí; Castiglioni, José Luis; Busaniche, Manuela; Aguzzoli, Stefano; Representation of BL-algebras with finite independent spectrum; Elsevier; Fuzzy Sets and Systems; 311; 9-2016; 15-320165-0114CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0165011416302731info:eu-repo/semantics/altIdentifier/doi/10.1016/j.fss.2016.09.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:18Zoai:ri.conicet.gov.ar:11336/31882instacron: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 09:39:19.123CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Representation of BL-algebras with finite independent spectrum
title Representation of BL-algebras with finite independent spectrum
spellingShingle Representation of BL-algebras with finite independent spectrum
Aguzzoli, Stefano
Bl-Algebras
Ordinal Sum
Finite Spectrum
Residuated Lattices
Poset Product
Wajsberg Hoops
title_short Representation of BL-algebras with finite independent spectrum
title_full Representation of BL-algebras with finite independent spectrum
title_fullStr Representation of BL-algebras with finite independent spectrum
title_full_unstemmed Representation of BL-algebras with finite independent spectrum
title_sort Representation of BL-algebras with finite independent spectrum
dc.creator.none.fl_str_mv Aguzzoli, Stefano
Busaniche, Manuela
Castiglioni, José Luis
Lubomirsky, Noemí
author Aguzzoli, Stefano
author_facet Aguzzoli, Stefano
Busaniche, Manuela
Castiglioni, José Luis
Lubomirsky, Noemí
author_role author
author2 Busaniche, Manuela
Castiglioni, José Luis
Lubomirsky, Noemí
author2_role author
author
author
dc.subject.none.fl_str_mv Bl-Algebras
Ordinal Sum
Finite Spectrum
Residuated Lattices
Poset Product
Wajsberg Hoops
topic Bl-Algebras
Ordinal Sum
Finite Spectrum
Residuated Lattices
Poset Product
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 A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among others. Our representation constitutes a generalization of the ordinal sum construction, since we decompose each algebra in terms of totally ordered Wajsberg hoops.
Fil: Aguzzoli, Stefano. Università degli Studi di Milano; Italia
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; Argentina
Fil: Lubomirsky, Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
description A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among others. Our representation constitutes a generalization of the ordinal sum construction, since we decompose each algebra in terms of totally ordered Wajsberg hoops.
publishDate 2016
dc.date.none.fl_str_mv 2016-09
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/11336/31882
Lubomirsky, Noemí; Castiglioni, José Luis; Busaniche, Manuela; Aguzzoli, Stefano; Representation of BL-algebras with finite independent spectrum; Elsevier; Fuzzy Sets and Systems; 311; 9-2016; 15-32
0165-0114
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31882
identifier_str_mv Lubomirsky, Noemí; Castiglioni, José Luis; Busaniche, Manuela; Aguzzoli, Stefano; Representation of BL-algebras with finite independent spectrum; Elsevier; Fuzzy Sets and Systems; 311; 9-2016; 15-32
0165-0114
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.sciencedirect.com/science/article/pii/S0165011416302731
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.fss.2016.09.002
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
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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