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ON DIFFERENCE FIELDS WITH QUANTIFIER ELIMINATION

Published online by Cambridge University Press:  28 November 2001

RAHIM MOOSA
RAHIM MOOSA
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801, USA; moosa@math.uiuc.edu
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Abstract

This paper proves that a difference field (E, σ) admits quantifier elimination if and only if E is an algebraically closed field, and σ is an integer power of the Frobenius automorphism.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 6 , November 2001 , pp. 641 - 646
Copyright
© The London Mathematical Society 2001

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