Rings containing a field of characteristic zero

David John Benson

doi:10.1007/s00013-017-1100-x

Rings containing a field of characteristic zero

David John Benson

Mathematical Science

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

15 Downloads (Pure)

Abstract

Let K be a field of characteristic zero, and let R be a ring containing K. Then either R×=K× or K× is a subgroup of infinite index in R×.

Original language	English
Pages (from-to)	413-414
Number of pages	2
Journal	Archiv der Mathematik
Volume	109
Issue number	5
Early online date	16 Sept 2017
DOIs	https://doi.org/10.1007/s00013-017-1100-x
Publication status	Published - Nov 2017

Bibliographical note

Open access via the Springer Compact Agreement

Access to Document

10.1007/s00013-017-1100-xLicence: CC BY

Rings containing a field of characteristic zero
© The Author(s) 2017 This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 330 KBLicence: CC BY

Cite this

@article{1ac575ec521e4d3cb36e3841dd10b422,

title = "Rings containing a field of characteristic zero",

abstract = "Let K be a field of characteristic zero, and let R be a ring containing K. Then either R×=K× or K× is a subgroup of infinite index in R×.",

author = "Benson, {David John}",

note = "Open access via the Springer Compact Agreement",

year = "2017",

month = nov,

doi = "10.1007/s00013-017-1100-x",

language = "English",

volume = "109",

pages = "413--414",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Springer ",

number = "5",

}

TY - JOUR

T1 - Rings containing a field of characteristic zero

AU - Benson, David John

N1 - Open access via the Springer Compact Agreement

PY - 2017/11

Y1 - 2017/11

N2 - Let K be a field of characteristic zero, and let R be a ring containing K. Then either R×=K× or K× is a subgroup of infinite index in R×.

AB - Let K be a field of characteristic zero, and let R be a ring containing K. Then either R×=K× or K× is a subgroup of infinite index in R×.

U2 - 10.1007/s00013-017-1100-x

DO - 10.1007/s00013-017-1100-x

M3 - Article

SN - 0003-889X

VL - 109

SP - 413

EP - 414

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 5

ER -

Rings containing a field of characteristic zero

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this