Submission date: 9 March 2017

Abstract:

In this short note, we mimic the proof of the simplicity of the theory ACFA of generic difference fields in order to provide a criterion, valid for certain theories of pure fields and fields equipped with operators, which shows that a complete theory is simple whenever its definable and algebraic closures are controlled by an underlying stable theory.

Mathematics Subject Classification:

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Full text arXiv 1703.03322: pdf, ps.