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Ideal Chains in Radical Theory


Gardner, BJ, Ideal Chains in Radical Theory, Acta Mathematica Hungarica, 119, (1-2) pp. 181-187. ISSN 0236-5294 (2008) [Refereed Article]

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DOI: doi:10.1007/s10474-007-7015-4


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 Details

Item Type:Refereed Article
Keywords:radical class, continuous well-ordered chain
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Gardner, BJ (Dr Barry Gardner)
ID Code:56053
Year Published:2008
Deposited By:Mathematics
Deposited On:2009-03-24
Last Modified:2009-07-31

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