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Ideal chains in radical theory


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Gardner, BJ 2008 , 'Ideal chains in radical theory' , Acta Mathematica Hungarica, vol. 119, no. 1-2 , pp. 181-187 , doi: 10.1007/s10474-007-7015-4.

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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
Authors/Creators:Gardner, BJ
Keywords: radical class, continuous well-ordered chain. 2000 Mathematics Subject Classication: 16N80.
Journal or Publication Title: Acta Mathematica Hungarica
DOI / ID Number: 10.1007/s10474-007-7015-4
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