Free algebras in varieties of BL-algebras with a Boolean retract

The aim of this paper is to give a description of the free algebras in varieties of BL-algebras having the Boolean retraction property. This description is given in terms of weak Boolean products over Cantor spaces. The stalks are obtained in a constructive way from free radical algebras. Radical al...

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Guardado en:
Detalles Bibliográficos
Publicado: 2002
Materias:
BL-algebras
Boolean representation
Boolean retraction property
Free BL-algebras
Peirce representation
Radical algebras
Radical variety
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00025240_v48_n1_p55_Cignoli
http://hdl.handle.net/20.500.12110/paper_00025240_v48_n1_p55_Cignoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00025240_v48_n1_p55_Cignoli
record_format dspace
spelling paper:paper_00025240_v48_n1_p55_Cignoli2023-06-08T14:21:52Z Free algebras in varieties of BL-algebras with a Boolean retract BL-algebras Boolean representation Boolean retraction property Free BL-algebras Peirce representation Radical algebras Radical variety The aim of this paper is to give a description of the free algebras in varieties of BL-algebras having the Boolean retraction property. This description is given in terms of weak Boolean products over Cantor spaces. The stalks are obtained in a constructive way from free radical algebras. Radical algebras are obtained endowing the maximal radicals of BL-algebras with a unary operation corresponding to double negation. The radical algebras obtained from a variety of BL-algebras form themselves a variety, that in the cases of PL-algebras and bipartite MV-algebras can be identified with the class of cancellative hoops. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00025240_v48_n1_p55_Cignoli http://hdl.handle.net/20.500.12110/paper_00025240_v48_n1_p55_Cignoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic BL-algebras
Boolean representation
Boolean retraction property
Free BL-algebras
Peirce representation
Radical algebras
Radical variety
spellingShingle BL-algebras
Boolean representation
Boolean retraction property
Free BL-algebras
Peirce representation
Radical algebras
Radical variety
Free algebras in varieties of BL-algebras with a Boolean retract
topic_facet BL-algebras
Boolean representation
Boolean retraction property
Free BL-algebras
Peirce representation
Radical algebras
Radical variety
description The aim of this paper is to give a description of the free algebras in varieties of BL-algebras having the Boolean retraction property. This description is given in terms of weak Boolean products over Cantor spaces. The stalks are obtained in a constructive way from free radical algebras. Radical algebras are obtained endowing the maximal radicals of BL-algebras with a unary operation corresponding to double negation. The radical algebras obtained from a variety of BL-algebras form themselves a variety, that in the cases of PL-algebras and bipartite MV-algebras can be identified with the class of cancellative hoops.
title Free algebras in varieties of BL-algebras with a Boolean retract
title_short Free algebras in varieties of BL-algebras with a Boolean retract
title_full Free algebras in varieties of BL-algebras with a Boolean retract
title_fullStr Free algebras in varieties of BL-algebras with a Boolean retract
title_full_unstemmed Free algebras in varieties of BL-algebras with a Boolean retract
title_sort free algebras in varieties of bl-algebras with a boolean retract
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00025240_v48_n1_p55_Cignoli
http://hdl.handle.net/20.500.12110/paper_00025240_v48_n1_p55_Cignoli
_version_ 1768544250745585664

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