Finitely generated free MV-algebras and their automorphism groups

Studia Logica 61 (1):65-78 (1998)
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Abstract

The MV-algebra S m w is obtained from the (m+1)-valued ukasiewicz chain by adding infinitesimals, in the same way as Chang's algebra is obtained from the two-valued chain. These algebras were introduced by Komori in his study of varieties of MV-algebras. In this paper we describe the finitely generated totally ordered algebras in the variety MV m w generated by S m w . This yields an easy description of the free MV m w -algebras over one generator. We characterize the automorphism groups of the free MV-algebras over finitely many generators.

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Citations of this work

On monadic MV-algebras.Antonio Di Nola & Revaz Grigolia - 2004 - Annals of Pure and Applied Logic 128 (1-3):125-139.
Varieties of MV-algebras.Giovanni Panti - 1999 - Journal of Applied Non-Classical Logics 9 (1):141-157.
Generic substitutions.Giovanni Panti - 2005 - Journal of Symbolic Logic 70 (1):61-83.
A discrete representation of free MV-algebras.Antonio Di Nola, Revaz Grigolia & Luca Spada - 2010 - Mathematical Logic Quarterly 56 (3):279-288.

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