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Preprint Number 623
623. Omar Leon Sanchez
Model theory of partial differential fields with an automorphism
Submission date: 13 September 2013.
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 Zilber dichotomy for finite dimensional minimal types.
Mathematics Subject Classification: 03C60, 12H05, 12H10
Keywords and phrases: Model theory, differential and difference algebra
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