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arxiv: 1309.3539 · v2 · pith:TBAI62CUnew · submitted 2013-09-13 · 🧮 math.LO

On the model companion of partial differential fields with an automorphism

classification 🧮 math.LO
keywords modelautomorphismcompaniondifferentialfieldspartialprovebasic
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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.

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