Artin-Schreier extensions in NIP and simple fields

2010/09/28 by Itay Kaplan, Kaplan, Itay, Thomas Scanlon +4
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.1009.5421

arxiv created 2010/09/28 · openalex publication_date 2010/09/28 · arxiv updated 2010/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that NIP fields have no Artin-Schreier extension, and that simple fields have only a finite number of them.

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