The Kaplansky radical of a quadratic field extension


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BECHER, Karim Johannes, David B. LEEP, 2014. The Kaplansky radical of a quadratic field extension. In: Journal of Pure and Applied Algebra. 218(9), pp. 1577-1582. ISSN 0022-4049. eISSN 1873-1376

@article{Becher2014Kapla-29349, title={The Kaplansky radical of a quadratic field extension}, year={2014}, doi={10.1016/j.jpaa.2013.12.009}, number={9}, volume={218}, issn={0022-4049}, journal={Journal of Pure and Applied Algebra}, pages={1577--1582}, author={Becher, Karim Johannes and Leep, David B.} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <dc:language>eng</dc:language> <dc:creator>Becher, Karim Johannes</dc:creator> <dc:date rdf:datatype="">2014-11-27T12:29:04Z</dc:date> <dc:contributor>Leep, David B.</dc:contributor> <dcterms:title>The Kaplansky radical of a quadratic field extension</dcterms:title> <dcterms:available rdf:datatype="">2014-11-27T12:29:04Z</dcterms:available> <dcterms:issued>2014</dcterms:issued> <dc:contributor>Becher, Karim Johannes</dc:contributor> <bibo:uri rdf:resource=""/> <dc:creator>Leep, David B.</dc:creator> </rdf:Description> </rdf:RDF>

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