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

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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 Sep 2017
DOIs	https://doi.org/10.1007/s00013-017-1100-x
Publication status	Published - Nov 2017

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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.
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Rings containing a field of characteristic zero

Abstract

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