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

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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 fre...

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Autores principales: Busaniche, M., Cignoli, R.
Formato: Artículo publishedVersion
Publicado: 2006
Materias:
BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_Busaniche
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_14467887_v80_n3_p419_Busaniche_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_14467887_v80_n3_p419_Busaniche_oai
record_format dspace
spelling I28-R145-paper_14467887_v80_n3_p419_Busaniche_oai2020-10-19 Busaniche, M. Cignoli, R. 2006 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. application/pdf http://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_Busaniche info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Aust. Math. Soc. 2006;80(3):419-439 BL-algebras Boolean products Free algebras Hoops Moisil algebras Residuated lattices Free algebras in varieties of BL-algebras generated by a BL n-chain info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_14467887_v80_n3_p419_Busaniche_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
spellingShingle BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
Busaniche, M.
Cignoli, R.
Free algebras in varieties of BL-algebras generated by a BL n-chain
topic_facet BL-algebras
Boolean products
Free algebras
Hoops
Moisil algebras
Residuated lattices
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.
format Artículo
Artículo
publishedVersion
author Busaniche, M.
Cignoli, R.
author_facet Busaniche, M.
Cignoli, R.
author_sort Busaniche, M.
title Free algebras in varieties of BL-algebras generated by a BL n-chain
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
publishDate 2006
url http://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_Busaniche
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_14467887_v80_n3_p419_Busaniche_oai
work_keys_str_mv AT busanichem freealgebrasinvarietiesofblalgebrasgeneratedbyablnchain
AT cignolir freealgebrasinvarietiesofblalgebrasgeneratedbyablnchain
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