Free algebras in varieties of BL-algebras generated by a BL n-chain

Autores
Busaniche, M.; Cignoli, R.
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and free algebras in the variety of basic hoops generated by B. The Boolean products are taken over the Stone spaces of the Boolean subalgebras of idempotents of free algebras in the variety of MV-algebras generated by L N. © 2006 Australian Mathematical Society.
Fil:Busaniche, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Aust. Math. Soc. 2006;80(3):419-439
Materia
BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_14467887_v80_n3_p419_Busaniche
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oai_identifier_str paperaa:paper_14467887_v80_n3_p419_Busaniche
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Free algebras in varieties of BL-algebras generated by a BL n-chainBusaniche, M.Cignoli, R.BL-algebrasBoolean productsFree algebrasHoopsMoisil algebrasResiduated latticesFree algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and free algebras in the variety of basic hoops generated by B. The Boolean products are taken over the Stone spaces of the Boolean subalgebras of idempotents of free algebras in the variety of MV-algebras generated by L N. © 2006 Australian Mathematical Society.Fil:Busaniche, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_BusanicheJ. Aust. Math. Soc. 2006;80(3):419-439reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-10-16T09:30:10Zpaperaa:paper_14467887_v80_n3_p419_BusanicheInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-16 09:30:12.451Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Free algebras in varieties of BL-algebras generated by a BL n-chain
title Free algebras in varieties of BL-algebras generated by a BL n-chain
spellingShingle Free algebras in varieties of BL-algebras generated by a BL n-chain
Busaniche, M.
BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
title_short Free algebras in varieties of BL-algebras generated by a BL n-chain
title_full Free algebras in varieties of BL-algebras generated by a BL n-chain
title_fullStr Free algebras in varieties of BL-algebras generated by a BL n-chain
title_full_unstemmed Free algebras in varieties of BL-algebras generated by a BL n-chain
title_sort Free algebras in varieties of BL-algebras generated by a BL n-chain
dc.creator.none.fl_str_mv Busaniche, M.
Cignoli, R.
author Busaniche, M.
author_facet Busaniche, M.
Cignoli, R.
author_role author
author2 Cignoli, R.
author2_role author
dc.subject.none.fl_str_mv BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
topic BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
dc.description.none.fl_txt_mv Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and free algebras in the variety of basic hoops generated by B. The Boolean products are taken over the Stone spaces of the Boolean subalgebras of idempotents of free algebras in the variety of MV-algebras generated by L N. © 2006 Australian Mathematical Society.
Fil:Busaniche, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak Boolean products of BL-algebras that are ordinal sums of subalgebras of L and free algebras in the variety of basic hoops generated by B. The Boolean products are taken over the Stone spaces of the Boolean subalgebras of idempotents of free algebras in the variety of MV-algebras generated by L N. © 2006 Australian Mathematical Society.
publishDate 2006
dc.date.none.fl_str_mv 2006
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/20.500.12110/paper_14467887_v80_n3_p419_Busaniche
url http://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_Busaniche
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Aust. Math. Soc. 2006;80(3):419-439
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.712165

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