On the model companion of partial differential fields with an automorphism

Omar Sanchez

doi:10.1007/s11856-016-1292-y

On the model companion of partial differential fields with an automorphism

Omar Sanchez

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Abstract

We prove that the class of partial differential fields of characteristic zero with an automorphism has a model companion. We then establish the basic model theoretic properties of this theory and prove that it satisfies the canonical base property, and consequently the Zilber dichotomy, for finite-dimensional types.

Original language	English
Pages (from-to)	419–442
Journal	Israel Journal of Mathematics
Volume	212
Issue number	1
Early online date	7 Jan 2016
DOIs	https://doi.org/10.1007/s11856-016-1292-y
Publication status	Published - May 2016

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Differential-difference fieldsAccepted author manuscript, 299 KB

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JO - Israel Journal of Mathematics

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On the model companion of partial differential fields with an automorphism

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