On finite MTL-algebras that are representable as poset products of archimedean chains

Autores
Castiglioni, José Luis; Zuluaga Botero, William Javier
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We obtain a duality between the category of locally unital finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are in fact, sheaves of MTL-chains over Alexandrov spaces. Finally we give a concrete description for the studied poset products in terms of direct products and ordinal sums of finite MTL-algebras.
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: Zuluaga Botero, William Javier. 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
MTL-ALGEBRAS
POSET PRODUCT
SHEAVES REPRESENTATIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/149529
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/149529
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On finite MTL-algebras that are representable as poset products of archimedean chainsCastiglioni, José LuisZuluaga Botero, William JavierMTL-ALGEBRASPOSET PRODUCTSHEAVES REPRESENTATIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We obtain a duality between the category of locally unital finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are in fact, sheaves of MTL-chains over Alexandrov spaces. Finally we give a concrete description for the studied poset products in terms of direct products and ordinal sums of finite MTL-algebras.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; ArgentinaFil: Zuluaga Botero, William Javier. 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; ArgentinaElsevier2020-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/149529Castiglioni, José Luis; Zuluaga Botero, William Javier; On finite MTL-algebras that are representable as poset products of archimedean chains; Elsevier; International Journal On Fuzzy Sets And Systems; 382; 3-2020; 57-780165-01141872-6801CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0165011419301897info:eu-repo/semantics/altIdentifier/doi/10.1016/j.fss.2019.03.015info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:09:37Zoai:ri.conicet.gov.ar:11336/149529instacron: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 10:09:38.162CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On finite MTL-algebras that are representable as poset products of archimedean chains
title On finite MTL-algebras that are representable as poset products of archimedean chains
spellingShingle On finite MTL-algebras that are representable as poset products of archimedean chains
Castiglioni, José Luis
MTL-ALGEBRAS
POSET PRODUCT
SHEAVES REPRESENTATIONS
title_short On finite MTL-algebras that are representable as poset products of archimedean chains
title_full On finite MTL-algebras that are representable as poset products of archimedean chains
title_fullStr On finite MTL-algebras that are representable as poset products of archimedean chains
title_full_unstemmed On finite MTL-algebras that are representable as poset products of archimedean chains
title_sort On finite MTL-algebras that are representable as poset products of archimedean chains
dc.creator.none.fl_str_mv Castiglioni, José Luis
Zuluaga Botero, William Javier
author Castiglioni, José Luis
author_facet Castiglioni, José Luis
Zuluaga Botero, William Javier
author_role author
author2 Zuluaga Botero, William Javier
author2_role author
dc.subject.none.fl_str_mv MTL-ALGEBRAS
POSET PRODUCT
SHEAVES REPRESENTATIONS
topic MTL-ALGEBRAS
POSET PRODUCT
SHEAVES REPRESENTATIONS
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 obtain a duality between the category of locally unital finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are in fact, sheaves of MTL-chains over Alexandrov spaces. Finally we give a concrete description for the studied poset products in terms of direct products and ordinal sums of finite MTL-algebras.
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: Zuluaga Botero, William Javier. 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 We obtain a duality between the category of locally unital finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are in fact, sheaves of MTL-chains over Alexandrov spaces. Finally we give a concrete description for the studied poset products in terms of direct products and ordinal sums of finite MTL-algebras.
publishDate 2020
dc.date.none.fl_str_mv 2020-03
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/11336/149529
Castiglioni, José Luis; Zuluaga Botero, William Javier; On finite MTL-algebras that are representable as poset products of archimedean chains; Elsevier; International Journal On Fuzzy Sets And Systems; 382; 3-2020; 57-78
0165-0114
1872-6801
CONICET Digital
CONICET
url http://hdl.handle.net/11336/149529
identifier_str_mv Castiglioni, José Luis; Zuluaga Botero, William Javier; On finite MTL-algebras that are representable as poset products of archimedean chains; Elsevier; International Journal On Fuzzy Sets And Systems; 382; 3-2020; 57-78
0165-0114
1872-6801
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.sciencedirect.com/science/article/abs/pii/S0165011419301897
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.fss.2019.03.015
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
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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