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Derivations of the Frobenius map

Published online by Cambridge University Press:  12 March 2014

Piotr Kowalski
Piotr Kowalski*
Affiliation:
Department of Mathematics, Wrocław University, PL. Grunwalkdzki 2/4, 50-384 Wroclaw, Poland, E-mail: pkowa@math.uni.wroc.pl
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Abstract

We prove that the theory of fields with a derivation of Frobenius has the model companion which is stable and admits elimination of quantifiers up to the level of the λ-functions. Along the way, we give new geometric axioms of DCFp.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 1 , March 2005 , pp. 99 - 110
Copyright
Copyright © Association for Symbolic Logic 2005

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