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Magidor-Malitz quantifiers in modules

Published online by Cambridge University Press:  12 March 2014

Andreas Baudisch
Andreas Baudisch*
Affiliation:
Institut für Mathematik, Akademie der Wissenschaften der Ddr, 1080 Berlin, DDR
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Abstract

We prove the elimination of Magidor-Malitz quantifiers for R-modules relative to certain -core sentences and positive primitive formulas. For complete extensions of the elementary theory of R-modules it follows that all Ramsey quantifiers (ℵ0-interpretation) are eliminable. By a result of Baldwin and Kueker [1] this implies that there is no R-module having the finite cover property.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 49 , Issue 1 , March 1984 , pp. 1 - 8
Copyright
Copyright © Association for Symbolic Logic 1984

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References

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