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Ideal chains in radical theory

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Gardner, BJ (2008) Ideal chains in radical theory. Acta Mathematica Hungarica, 119 (1-2). pp. 181-187.

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Abstract

It is shown that in a well known characterization of radical classes, closure under unions of chains of ideals can be replaced by closure under unions of continuous well-ordered chains of ideals. Some consequences are discussed.

Item Type: Article
Keywords: radical class, continuous well-ordered chain. 2000 Mathematics Subject Classication: 16N80.
Journal or Publication Title: Acta Mathematica Hungarica
Page Range: pp. 181-187
Identification Number - DOI: 10.1007/s10474-007-7015-4
Additional Information: The original publication is available at www.springerlink.com
Date Deposited: 27 Aug 2007
Last Modified: 18 Nov 2014 03:21
URI: http://eprints.utas.edu.au/id/eprint/1680
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