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Krull dimension and torsion radicals

Published online by Cambridge University Press:  17 April 2009

A.K. Boyle  and
R.J. Serven
A.K. Boyle
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA.
R.J. Serven
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA.
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Abstract

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Let R be a ring with Krull dimension α and let τα be defined on a module MR by . Equivalent conditions for τα to be a torsion radical are given. The relationship between τα-criticals and α-criticals is also explored.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 129 - 138
Copyright
Copyright © Australian Mathematical Society 1983

References

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