Ideal chains in radical theory

Gardner, B.J. (2007) Ideal chains in radical theory. Acta Mathematica Hungarica . (In Press)

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Official URL: http://www.springerlink.com/content/102836/

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
Additional Information:	The original publication is available at www.springerlink.com
Keywords:	radical class, continuous well-ordered chain. 2000 Mathematics Subject Classication: 16N80.
Subjects:	230000 Mathematical Sciences > 230100 Mathematics > 230103 Rings And Algebras
Collections:	UNSPECIFIED
ID Code:	1680
Deposited By:	Heather Mitchell
Deposited On:	27 Aug 2007
Last Modified:	07 Feb 2008 11:57
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