Artículo
MV-closures of Wajsberg hoops and applications
Fecha de publicación:
04/2010
Editorial:
Springer
Revista:
Algebra Universalis
ISSN:
0002-5240
e-ISSN:
1420-8911
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we construct, given a Wajsberg hoop A, an MV-algebra MV(A) such that the underlying set A of A is a maximal filter of MV(A) and the quotient MV(A)/A is the two element chain. As an application we provide a topological duality for locally finite Wajsberg hoops based on a previously known duality for locally finite MV-algebras. We also give another duality for k-valued Wajsberg hoops based on a different representation of k-valued MV-algebras and show the relation to the first duality. We also apply this construction to give a topological representation for free k-valued Wajsberg hoops.
Palabras clave:
Hoops
,
Wajsberg Hoops
,
Wajsberg Algebras
,
Mv-Algebras
,
Stone Spaces
,
Free Algebras
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Licencia
Identificadores
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Abad, Manuel; Castaño, Diego Nicolás; Díaz Varela, José Patricio; MV-closures of Wajsberg hoops and applications; Springer; Algebra Universalis; 64; 1; 4-2010; 213-230
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