Artin-Schreier extensions in NIP and simple fields

Itay Kaplan; Thomas Scanlon; Frank O. Wagner

doi:10.1007/s11856-011-0104-7

Artin-Schreier extensions in NIP and simple fields

Itay Kaplan, Thomas Scanlon, Frank O. Wagner

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	141-153
Number of pages	13
Journal	Israel Journal of Mathematics
Volume	185
Issue number	1
DOIs	https://doi.org/10.1007/s11856-011-0104-7
State	Published - Oct 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-011-0104-7

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title = "Artin-Schreier extensions in NIP and simple fields",

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

author = "Itay Kaplan and Thomas Scanlon and Wagner, {Frank O.}",

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doi = "10.1007/s11856-011-0104-7",

language = "الإنجليزيّة",

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journal = "Israel Journal of Mathematics",

issn = "0021-2172",

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AU - Wagner, Frank O.

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AB - 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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DO - 10.1007/s11856-011-0104-7

M3 - مقالة

SN - 0021-2172

VL - 185

SP - 141

EP - 153

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Artin-Schreier extensions in NIP and simple fields

Abstract

All Science Journal Classification (ASJC) codes

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