Submission date: 23 December 2012.

Abstract:

Generalising and unifying the known theorems for difference and differential fields, it is shown that for every finite free S-algebra D over a field A of characteristic zero the theory of D-fields has a model companion D-CF_0 which is simple and satisfies the Zilber dichotomy for finite-dimensional minimal types.

Mathematics Subject Classification:

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Full text arXiv 1212.5838: pdf, ps.