Free algebras in varieties of BL-algebras generated by a BL n-chain
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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_Busaniche |
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paperaa:paper_14467887_v80_n3_p419_Busaniche2023-06-12T16:50:20Z Free algebras in varieties of BL-algebras generated by a BL n-chain J. Aust. Math. Soc. 2006;80(3):419-439 Busaniche, M. Cignoli, R. BL-algebras Boolean products Free algebras Hoops Moisil algebras Residuated lattices 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. 2006 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_14467887_v80_n3_p419_Busaniche |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
language |
Inglés |
orig_language_str_mv |
eng |
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 |
work_keys_str_mv |
AT busanichem freealgebrasinvarietiesofblalgebrasgeneratedbyablnchain AT cignolir freealgebrasinvarietiesofblalgebrasgeneratedbyablnchain |
_version_ |
1769810244461920256 |