Varieties of MV-algebras

Journal of Applied Non-Classical Logics 9 (1):141-157 (1999)
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Abstract

ABSTRACT We characterize, for every subvariety V of the variety of all MV- algebras, the free objects in V. We use our results to compute coproducts in V and to provide simple single-axiom axiomatizations of all many-valued logics extending the Lukasiewicz one.

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10.1080/11663081.1999.10510961

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Citations of this work

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Decidable and undecidable prime theories in infinite-valued logic.Daniele Mundici & Giovanni Panti - 2001 - Annals of Pure and Applied Logic 108 (1-3):269-278.
Free Łukasiewicz implication algebras.José Patricio Díaz Varela - 2008 - Archive for Mathematical Logic 47 (1):25-33.
Generic substitutions.Giovanni Panti - 2005 - Journal of Symbolic Logic 70 (1):61-83.

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