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

^*Corresponding author for this work

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

29 Scopus citations

Abstract

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

Original language	American 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

Access to Document

10.1007/s11856-011-0104-7

Cite this

@article{b680361ef2654355a3daefecd539786f,

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.}",

year = "2011",

month = oct,

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

language = "American English",

volume = "185",

pages = "141--153",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Artin-Schreier extensions in NIP and simple fields

AU - Kaplan, Itay

AU - Scanlon, Thomas

AU - Wagner, Frank O.

PY - 2011/10

Y1 - 2011/10

N2 - We show that NIP fields have no Artin-Schreier extension, and that simple fields have only a finite number of them.

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

UR - http://www.scopus.com/inward/record.url?scp=80053380107&partnerID=8YFLogxK

U2 - 10.1007/s11856-011-0104-7

DO - 10.1007/s11856-011-0104-7

M3 - Article

AN - SCOPUS:80053380107

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

Access to Document

Other files and links

Cite this