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The Lattice of Subvarieties of \({\sqrt{\prime}}\) quasi-MV Algebras

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Abstract

In the present paper we continue the investigation of the lattice of subvarieties of the variety of \({\sqrt{\prime}}\) quasi-MV algebras, already started in [6]. Beside some general results on the structure of such a lattice, the main contribution of this work is the solution of a long-standing open problem concerning these algebras: namely, we show that the variety generated by the standard disk algebra D r is not finitely based, and we provide an infinite equational basis for the same variety.

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Authors and Affiliations

  1. Department of Education, Università di Cagliari, via Is Mirrionis 1, I-09123, Cagliari, Italy

    T. Kowalski, F. Paoli, R. Giuntini & A. Ledda

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  1. T. Kowalski
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  2. F. Paoli
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  3. R. Giuntini
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  4. A. Ledda
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Correspondence to F. Paoli.

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Kowalski, T., Paoli, F., Giuntini, R. et al. The Lattice of Subvarieties of \({\sqrt{\prime}}\) quasi-MV Algebras. Stud Logica 95, 37–61 (2010). https://doi.org/10.1007/s11225-010-9256-4

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  • DOI: https://doi.org/10.1007/s11225-010-9256-4

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