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Preprint Number 1183

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1183. Thomas Blossier, Amador Martin-Pizarro
Un Critère Simple

Submission date: 9 March 2017


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.

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Full text arXiv 1703.03322: pdf, ps.

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