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UN CRITÈRE SIMPLE

Thomas Blossier 1 Amador Martin-Pizarro 1 
1 AGL - Algèbre, géométrie, logique
ICJ - Institut Camille Jordan [Villeurbanne]
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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https://hal.archives-ouvertes.fr/hal-01485675
Contributor : Thomas Blossier Connect in order to contact the contributor
Submitted on : Monday, July 9, 2018 - 4:04:43 PM
Last modification on : Monday, June 28, 2021 - 2:26:07 PM
Long-term archiving on: : Tuesday, October 2, 2018 - 7:12:37 AM

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Thomas Blossier, Amador Martin-Pizarro. UN CRITÈRE SIMPLE. 2017. ⟨hal-01485675v5⟩

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