Artículo
Implicative subreducts of MV-algebras: free and weakly projective objects
Fecha de publicación:
12/2017
Editorial:
Birkhauser Verlag Ag
Revista:
Algebra Universalis
ISSN:
0002-5240
e-ISSN:
1420-8911
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this article, we explore in some detail the free and weakly projective objects of the variety of Łukasiewicz implication algebras (the implicative subreducts of MV-algebras). We review the two already known descriptions of finitely generated free algebras, giving new insights into their structure and their connection, as well as providing new proofs of the characterizations. We give a representation theorem for weakly projective algebras as algebras of certain McNaughton functions restricted to rational polyhedra and prove that finitely generated weakly projective algebras coincide with finitely presented ones. We also prove that finite chains are the only totally ordered weakly projective examples in this variety.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Castaño, Diego Nicolás; Implicative subreducts of MV-algebras: free and weakly projective objects; Birkhauser Verlag Ag; Algebra Universalis; 78; 4; 12-2017; 579-600
Compartir
Altmétricas