Equational type characterization for σ-complete MV -algebras

Autores
Freytes Solari, Hector Carlos
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the framework of algebras with infinitary operations, an equational base for the category of σ-complete MV-algebras is given. In this way, we study some particular objects as simple algebras, directly irreducible algebras, injectives, etc. A completeness theorem with respect to the standard MV-algebra, considered as σ-complete MV-algebra, is obtained. Finally, we apply this result to the study of σ-complete Boolean algebras and σ-complete product MV-algebras.
Fil: Freytes Solari, Hector Carlos. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Mv-Algebras
Infinitary Operations
Loomis-Sicorski-Theorem
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:11336/15462
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/15462
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Equational type characterization for σ-complete MV -algebrasFreytes Solari, Hector CarlosMv-AlgebrasInfinitary OperationsLoomis-Sicorski-Theoremhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In the framework of algebras with infinitary operations, an equational base for the category of σ-complete MV-algebras is given. In this way, we study some particular objects as simple algebras, directly irreducible algebras, injectives, etc. A completeness theorem with respect to the standard MV-algebra, considered as σ-complete MV-algebra, is obtained. Finally, we apply this result to the study of σ-complete Boolean algebras and σ-complete product MV-algebras.Fil: Freytes Solari, Hector Carlos. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaBirkhauser Verlag Ag2013-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15462Freytes Solari, Hector Carlos; Equational type characterization for σ-complete MV -algebras ; Birkhauser Verlag Ag; Algebra Universalis; 69; 2; 4-2013; 139-1660002-52401420-8911enginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-013-0220-9info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00012-013-0220-9info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:49:40Zoai:ri.conicet.gov.ar:11336/15462instacron: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:34982025-11-05 10:49:41.268CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Equational type characterization for σ-complete MV -algebras
title Equational type characterization for σ-complete MV -algebras
spellingShingle Equational type characterization for σ-complete MV -algebras
Freytes Solari, Hector Carlos
Mv-Algebras
Infinitary Operations
Loomis-Sicorski-Theorem
title_short Equational type characterization for σ-complete MV -algebras
title_full Equational type characterization for σ-complete MV -algebras
title_fullStr Equational type characterization for σ-complete MV -algebras
title_full_unstemmed Equational type characterization for σ-complete MV -algebras
title_sort Equational type characterization for σ-complete MV -algebras
dc.creator.none.fl_str_mv Freytes Solari, Hector Carlos
author Freytes Solari, Hector Carlos
author_facet Freytes Solari, Hector Carlos
author_role author
dc.subject.none.fl_str_mv Mv-Algebras
Infinitary Operations
Loomis-Sicorski-Theorem
topic Mv-Algebras
Infinitary Operations
Loomis-Sicorski-Theorem
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the framework of algebras with infinitary operations, an equational base for the category of σ-complete MV-algebras is given. In this way, we study some particular objects as simple algebras, directly irreducible algebras, injectives, etc. A completeness theorem with respect to the standard MV-algebra, considered as σ-complete MV-algebra, is obtained. Finally, we apply this result to the study of σ-complete Boolean algebras and σ-complete product MV-algebras.
Fil: Freytes Solari, Hector Carlos. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In the framework of algebras with infinitary operations, an equational base for the category of σ-complete MV-algebras is given. In this way, we study some particular objects as simple algebras, directly irreducible algebras, injectives, etc. A completeness theorem with respect to the standard MV-algebra, considered as σ-complete MV-algebra, is obtained. Finally, we apply this result to the study of σ-complete Boolean algebras and σ-complete product MV-algebras.
publishDate 2013
dc.date.none.fl_str_mv 2013-04
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/11336/15462
Freytes Solari, Hector Carlos; Equational type characterization for σ-complete MV -algebras ; Birkhauser Verlag Ag; Algebra Universalis; 69; 2; 4-2013; 139-166
0002-5240
1420-8911
url http://hdl.handle.net/11336/15462
identifier_str_mv Freytes Solari, Hector Carlos; Equational type characterization for σ-complete MV -algebras ; Birkhauser Verlag Ag; Algebra Universalis; 69; 2; 4-2013; 139-166
0002-5240
1420-8911
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-013-0220-9
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00012-013-0220-9
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 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 13.087074

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