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Model companions of theories with an automorphism

Published online by Cambridge University Press:  12 March 2014

Hirotaka Kikyo
Hirotaka Kikyo*
Affiliation:
Department of Mathematical Sciences, Tokai University, 1117 Kitakaname, Hiratsuka 259-1292, Japan E-mail: kikyo@ss.u-tokai.ac.jp
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Abstract

For a theory T in L, Tσ is the theory of the models of T with an automorphism σ. If T is an unstable model complete theory without the independence property, then Tσ has no model companion. If T is an unstable model complete theory and Tσ has the amalgamation property, then Tσ has no model companion. If T is model complete and has the fcp, then Tσ has no model completion.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 3 , September 2000 , pp. 1215 - 1222
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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