Finitely generated free MV-algebras and their automorphism groups

Studia Logica 61 (1):65-78 (1998)
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.
Keywords free MV-algebras  subvarieties of MV-algebras  McNaughton functions  groups of piecewise-linear functions
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Reprint years 2004
DOI 10.1023/A:1005030314538
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Citations of this work BETA
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.
A Discrete Representation of Free MV-Algebras.Antonio Di Nola, Revaz Grigolia & Luca Spada - 2010 - Mathematical Logic Quarterly 56 (3):279-288.
Generic Substitutions.Giovanni Panti - 2005 - Journal of Symbolic Logic 70 (1):61-83.

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