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.
Citation
Piotr Kowalski. "Derivations of the Frobenius map." J. Symbolic Logic 70 (1) 99 - 110, March 2005. https://doi.org/10.2178/jsl/1107298512
Information
Published: March 2005
First available in Project Euclid: 1 February 2005
zbMATH: 1094.03025
MathSciNet: MR2119125
Digital Object Identifier: 10.2178/jsl/1107298512
Rights: Copyright © 2005 Association for Symbolic Logic
