Publication
Title
The Kaplansky radical of a quadratic field extension
Author
Abstract
The radical of a field consists of all nonzero elements that are represented by every binary quadratic form representing 1. Here, the radical is studied in relation to local-global principles, and further in its behavior under quadratic field extensions. In particular, an example of a quadratic field extension is constructed where the natural analogue to the square-class exact sequence for the radical fails to be exact. This disproves a conjecture of Kijima and Nishi. (C) 2013 Elsevier B.V. All rights reserved.
Language
English
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Publication
Amsterdam : 2014
ISSN
0022-4049
Volume/pages
218:9(2014), p. 1577-1582
ISI
000337870000001
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 28.08.2014
Last edited 12.08.2017
To cite this reference