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A generalisation of the lower radical class

Published online by Cambridge University Press:  17 April 2009

Robert McDougall
Robert McDougall
Affiliation:
School of Mathematical and Decision Sciences, Central Queensland University, Rockhampton Qld 4702, Australia e-mail: [email protected]
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Abstract

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In this work we demonstrate that the lower radical class construction on a homomorphically closed class of associative rings generates a radical class for any class of associative rings. We also give a new description of the upper radical class using the construction on an appropriate generating class.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 139 - 146
Copyright
Copyright © Australian Mathematical Society 1999

References

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