Artículos de revistas
MV-closures of Wajsberg hoops and applications
Fecha
2010-04Registro en:
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
0002-5240
1420-8911
Autor
Abad, Manuel
Castaño, Diego Nicolás
Díaz Varela, José Patricio
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.