MV-closures of Wajsberg hoops and applications |
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Authors: | Manuel Abad Diego N Castaño José Patricio Díaz Varela |
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Institution: | 1. Departamento de Matemática, Universidad Nacional del Sur, Bahía Blanca, 8000, Argentina
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Abstract: | 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. |
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