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arXiv · 1703.03322

Un Crit{\`E}Re Simple

Thomas Blossier·Amador Martin-Pizarro
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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.

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BibTeXRIS

Thomas Blossier, Amador Martin-Pizarro. 2017-03-09. Un Crit{\`E}Re Simple. https://doi.org/10.1215/00294527-2019-0023

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