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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Kaplan, I., Scanlon, T. & Wagner, F.O. Artin-Schreier extensions in NIP and simple fields. Isr. J. Math. 185, 141–153 (2011). https://doi.org/10.1007/s11856-011-0104-7
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DOI: https://doi.org/10.1007/s11856-011-0104-7