On some subvarieties of IMTn-algebras and the partitions of the m-cube

Autores
Cornejo, Juan Manuel; Rueda, Laura Alicia
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The aim of this paper is to study the variety IMTn and some of its subvarieties. After proving some general properties of IMTn-chains, we characterize IMT4-chains and we provide a complete description of some subvarieties of IMT4. We establish a relationship between totally symmetric partitions of the m-cube and IMT4-chains, and as a consequence of this relationship, we give a procedure to construct all finite IMT4-chains.
Fil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Rueda, Laura Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
Residuated Lattices
Imth Algebras
Partitions Of the M-Cube
Subvarieties
03b50
03g25
Primary: 06d72
Secondary: 06b20
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:11336/77850
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/77850
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On some subvarieties of IMTn-algebras and the partitions of the m-cubeCornejo, Juan ManuelRueda, Laura AliciaResiduated LatticesImth AlgebrasPartitions Of the M-CubeSubvarieties03b5003g25Primary: 06d72Secondary: 06b20https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The aim of this paper is to study the variety IMTn and some of its subvarieties. After proving some general properties of IMTn-chains, we characterize IMT4-chains and we provide a complete description of some subvarieties of IMT4. We establish a relationship between totally symmetric partitions of the m-cube and IMT4-chains, and as a consequence of this relationship, we give a procedure to construct all finite IMT4-chains.Fil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Rueda, Laura Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaBirkhauser Verlag Ag2015-02-25info: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/11336/77850Cornejo, Juan Manuel; Rueda, Laura Alicia; On some subvarieties of IMTn-algebras and the partitions of the m-cube; Birkhauser Verlag Ag; Algebra Universalis; 73; 1; 25-2-2015; 23-420002-52401420-8911CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00012-014-0312-1info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-014-0312-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:40:37Zoai:ri.conicet.gov.ar:11336/77850instacron: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 15:40:37.792CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On some subvarieties of IMTn-algebras and the partitions of the m-cube
title On some subvarieties of IMTn-algebras and the partitions of the m-cube
spellingShingle On some subvarieties of IMTn-algebras and the partitions of the m-cube
Cornejo, Juan Manuel
Residuated Lattices
Imth Algebras
Partitions Of the M-Cube
Subvarieties
03b50
03g25
Primary: 06d72
Secondary: 06b20
title_short On some subvarieties of IMTn-algebras and the partitions of the m-cube
title_full On some subvarieties of IMTn-algebras and the partitions of the m-cube
title_fullStr On some subvarieties of IMTn-algebras and the partitions of the m-cube
title_full_unstemmed On some subvarieties of IMTn-algebras and the partitions of the m-cube
title_sort On some subvarieties of IMTn-algebras and the partitions of the m-cube
dc.creator.none.fl_str_mv Cornejo, Juan Manuel
Rueda, Laura Alicia
author Cornejo, Juan Manuel
author_facet Cornejo, Juan Manuel
Rueda, Laura Alicia
author_role author
author2 Rueda, Laura Alicia
author2_role author
dc.subject.none.fl_str_mv Residuated Lattices
Imth Algebras
Partitions Of the M-Cube
Subvarieties
03b50
03g25
Primary: 06d72
Secondary: 06b20
topic Residuated Lattices
Imth Algebras
Partitions Of the M-Cube
Subvarieties
03b50
03g25
Primary: 06d72
Secondary: 06b20
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The aim of this paper is to study the variety IMTn and some of its subvarieties. After proving some general properties of IMTn-chains, we characterize IMT4-chains and we provide a complete description of some subvarieties of IMT4. We establish a relationship between totally symmetric partitions of the m-cube and IMT4-chains, and as a consequence of this relationship, we give a procedure to construct all finite IMT4-chains.
Fil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Rueda, Laura Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description The aim of this paper is to study the variety IMTn and some of its subvarieties. After proving some general properties of IMTn-chains, we characterize IMT4-chains and we provide a complete description of some subvarieties of IMT4. We establish a relationship between totally symmetric partitions of the m-cube and IMT4-chains, and as a consequence of this relationship, we give a procedure to construct all finite IMT4-chains.
publishDate 2015
dc.date.none.fl_str_mv 2015-02-25
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/11336/77850
Cornejo, Juan Manuel; Rueda, Laura Alicia; On some subvarieties of IMTn-algebras and the partitions of the m-cube; Birkhauser Verlag Ag; Algebra Universalis; 73; 1; 25-2-2015; 23-42
0002-5240
1420-8911
CONICET Digital
CONICET
url http://hdl.handle.net/11336/77850
identifier_str_mv Cornejo, Juan Manuel; Rueda, Laura Alicia; On some subvarieties of IMTn-algebras and the partitions of the m-cube; Birkhauser Verlag Ag; Algebra Universalis; 73; 1; 25-2-2015; 23-42
0002-5240
1420-8911
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://link.springer.com/article/10.1007/s00012-014-0312-1
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-014-0312-1
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
_version_ 1846083519627919360
score 13.22299

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