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MV-closures of Wajsberg hoops and applications

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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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Authors and Affiliations

  1. Departamento de Matemática, Universidad Nacional del Sur, Bahía Blanca, 8000, Argentina

    Manuel Abad, Diego N. Castaño & José Patricio Díaz Varela

Authors
  1. Manuel Abad
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  2. Diego N. Castaño
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  3. José Patricio Díaz Varela
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Corresponding author

Correspondence to Manuel Abad.

Additional information

Presented by C. Tsinakis.

The second and third authors are partially supported by CONICET.

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Abad, M., Castaño, D.N. & Varela, J.P.D. MV-closures of Wajsberg hoops and applications. Algebra Univers. 64, 213–230 (2010). https://doi.org/10.1007/s00012-010-0101-4

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  • DOI: https://doi.org/10.1007/s00012-010-0101-4

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