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

Studia Logica 95 (1-2):37-61 (2010)
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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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References found in this work

Algebraic foundations of many-valued reasoning.Roberto Cignoli - 1999 - Boston: Kluwer Academic Publishers. Edited by Itala M. L. D'Ottaviano & Daniele Mundici.
VMV# algebrasV.R. Lewin, M. Sagastume & P. Massey - 2004 - Logic Journal of the IGPL 12 (6):461-483.

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