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Title
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The Kaplansky radical of a quadratic field extension
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Journal of pure and applied algebra. - Amsterdam
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Publication
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Amsterdam
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2014
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ISSN
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0022-4049
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DOI
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10.1016/J.JPAA.2013.12.009
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Volume/pages
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218
:9
(2014)
, p. 1577-1582
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ISI
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000337870000001
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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