Free monadic Tarski and MMI3-algebras

Autores
Entizne, Rosana V.; Monteiro, Luiz F.; Savini, Sonia M.; Viglizzo, Ignacio Dario
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
MMI3-algebras are a generalization of the monadic Tarski algebras as defined by A. Monteiro and L. Iturrioz, and a particular case of the MMIn+1-algebras defined by A. Figallo. They can also be seen as monadic three-valued £ukasiewicz algebras without a first element. By using this point of view, and the free monadic extensions, we construct the free MMI3-algebras on a finite number of generators, and indicate the coordinates of the generators. As a byproduct, we also obtain a construction of the free monadic Tarski algebras.
Fil: Entizne, Rosana V.. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Monteiro, Luiz F.. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Savini, Sonia M.. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Viglizzo, Ignacio Dario. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Materia
FREE ALGEBRAS
GENERATORS
MMI3-ALGEBRAS
MONADIC EXTENSION
TARSKI ALGEBRAS
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:11336/37155
Acceder
id CONICETDig_8d6092035a2a76e4c84ad81ada2c6eef
oai_identifier_str oai:ri.conicet.gov.ar:11336/37155
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Free monadic Tarski and MMI3-algebrasEntizne, Rosana V.Monteiro, Luiz F.Savini, Sonia M.Viglizzo, Ignacio DarioFREE ALGEBRASGENERATORSMMI3-ALGEBRASMONADIC EXTENSIONTARSKI ALGEBRAShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1MMI3-algebras are a generalization of the monadic Tarski algebras as defined by A. Monteiro and L. Iturrioz, and a particular case of the MMIn+1-algebras defined by A. Figallo. They can also be seen as monadic three-valued £ukasiewicz algebras without a first element. By using this point of view, and the free monadic extensions, we construct the free MMI3-algebras on a finite number of generators, and indicate the coordinates of the generators. As a byproduct, we also obtain a construction of the free monadic Tarski algebras.Fil: Entizne, Rosana V.. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Monteiro, Luiz F.. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Savini, Sonia M.. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Viglizzo, Ignacio Dario. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaWarsaw University2014-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/37155Entizne, Rosana V.; Monteiro, Luiz F.; Savini, Sonia M.; Viglizzo, Ignacio Dario; Free monadic Tarski and MMI3-algebras; Warsaw University; Demonstratio Mathematica; 47; 3; 9-2014; 509-5210420-12132391-4661CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0042/dema-2014-0042.xmlinfo:eu-repo/semantics/altIdentifier/doi/10.2478/dema-2014-0042info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:14:35Zoai:ri.conicet.gov.ar:11336/37155instacron: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 10:14:35.677CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Free monadic Tarski and MMI3-algebras
title Free monadic Tarski and MMI3-algebras
spellingShingle Free monadic Tarski and MMI3-algebras
Entizne, Rosana V.
FREE ALGEBRAS
GENERATORS
MMI3-ALGEBRAS
MONADIC EXTENSION
TARSKI ALGEBRAS
title_short Free monadic Tarski and MMI3-algebras
title_full Free monadic Tarski and MMI3-algebras
title_fullStr Free monadic Tarski and MMI3-algebras
title_full_unstemmed Free monadic Tarski and MMI3-algebras
title_sort Free monadic Tarski and MMI3-algebras
dc.creator.none.fl_str_mv Entizne, Rosana V.
Monteiro, Luiz F.
Savini, Sonia M.
Viglizzo, Ignacio Dario
author Entizne, Rosana V.
author_facet Entizne, Rosana V.
Monteiro, Luiz F.
Savini, Sonia M.
Viglizzo, Ignacio Dario
author_role author
author2 Monteiro, Luiz F.
Savini, Sonia M.
Viglizzo, Ignacio Dario
author2_role author
author
author
dc.subject.none.fl_str_mv FREE ALGEBRAS
GENERATORS
MMI3-ALGEBRAS
MONADIC EXTENSION
TARSKI ALGEBRAS
topic FREE ALGEBRAS
GENERATORS
MMI3-ALGEBRAS
MONADIC EXTENSION
TARSKI ALGEBRAS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv MMI3-algebras are a generalization of the monadic Tarski algebras as defined by A. Monteiro and L. Iturrioz, and a particular case of the MMIn+1-algebras defined by A. Figallo. They can also be seen as monadic three-valued £ukasiewicz algebras without a first element. By using this point of view, and the free monadic extensions, we construct the free MMI3-algebras on a finite number of generators, and indicate the coordinates of the generators. As a byproduct, we also obtain a construction of the free monadic Tarski algebras.
Fil: Entizne, Rosana V.. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Monteiro, Luiz F.. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Savini, Sonia M.. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Viglizzo, Ignacio Dario. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
description MMI3-algebras are a generalization of the monadic Tarski algebras as defined by A. Monteiro and L. Iturrioz, and a particular case of the MMIn+1-algebras defined by A. Figallo. They can also be seen as monadic three-valued £ukasiewicz algebras without a first element. By using this point of view, and the free monadic extensions, we construct the free MMI3-algebras on a finite number of generators, and indicate the coordinates of the generators. As a byproduct, we also obtain a construction of the free monadic Tarski algebras.
publishDate 2014
dc.date.none.fl_str_mv 2014-09
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/11336/37155
Entizne, Rosana V.; Monteiro, Luiz F.; Savini, Sonia M.; Viglizzo, Ignacio Dario; Free monadic Tarski and MMI3-algebras; Warsaw University; Demonstratio Mathematica; 47; 3; 9-2014; 509-521
0420-1213
2391-4661
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37155
identifier_str_mv Entizne, Rosana V.; Monteiro, Luiz F.; Savini, Sonia M.; Viglizzo, Ignacio Dario; Free monadic Tarski and MMI3-algebras; Warsaw University; Demonstratio Mathematica; 47; 3; 9-2014; 509-521
0420-1213
2391-4661
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.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0042/dema-2014-0042.xml
info:eu-repo/semantics/altIdentifier/doi/10.2478/dema-2014-0042
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/zip
application/pdf
dc.publisher.none.fl_str_mv Warsaw University
publisher.none.fl_str_mv Warsaw University
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_ 1844614074522927104
score 13.070432

Publicaciones similares