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Varieties of MV-algebras

Varieties of MV-algebras 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Non-Classical Logics Taylor & Francis

Varieties of MV-algebras

Panti, Giovanni
Journal of Applied Non-Classical Logics , Volume 9 (1): 17 – Jan 1, 1999
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17 pages

Varieties of MV-algebras

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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Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1958-5780
eISSN
1166-3081
DOI
10.1080/11663081.1999.10510961
Publisher site
See Article on Publisher Site

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.

Journal

Journal of Applied Non-Classical Logics – Taylor & Francis

Published: Jan 1, 1999

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