The Lattice of Subvarieties of {sqrt{prime}} quasi-MV Algebras |
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Authors: | T. Kowalski F. Paoli R. Giuntini A. Ledda |
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Affiliation: | 1. Department of Education, Università di Cagliari, via Is Mirrionis 1, I-09123, Cagliari, Italy
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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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