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A note on existentially closed difference fields with algebraically closed fixed field

Published online by Cambridge University Press:  12 March 2014

Anand Pillay
Anand Pillay*
Affiliation:
Department of Mathematics, University of Illinois At Urbana-Champaign, 1409 W. Green Street (Mc-382), Urbana. Illinois 61801-2975, E-mail:pillay@math.uiuc.edu
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Abstract

We point out that the theory of difference fields with algebraically closed fixed field has no model companion.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 2 , June 2001 , pp. 719 - 721
Copyright
Copyright © Association for Symbolic Logic 2001

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References

REFERENCES

[1]Chatzidakis, Z. and Hrushovski, E., The model theory of difference fields, Transactions of American Mathematical Society, vol. 351 (1999), pp. 2997–3071.CrossRefGoogle Scholar
[2]Hrushovski, E., On superstable fields with automorphisms, Model theory of groups (Nesin, A. and Pillay, A., editors), Notre Dame Press, 1989.Google Scholar