Finitely Generated Free MV-Algebras and Their Automorphism Groups

Studia Logica 61 (1):65 - 78 (1998)
The MV-algebra $S_{m}^{\omega}$ is obtained from the (m+1)-valued Łukasiewicz 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 $\text{MV}_{m}^{\omega}$ generated by $S_{m}^{\omega}$ . This yields an easy description of the free $\text{M}_{m}^{\omega}$ -algebras over one generator. We characterize the automorphism groups of the free MV-algebras over finitely many generators.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/20015990
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 16,667
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

5 ( #377,318 of 1,726,249 )

Recent downloads (6 months)

1 ( #369,877 of 1,726,249 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.