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Sub-prime radical classes determined by zerorings

Published online by Cambridge University Press:  17 April 2009

B.J. Gardner
B.J. Gardner
Affiliation:
Department of Mathematics, University of Tasmania, Hobart, Tasmania.
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Abstract

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It is shown that the correspondence which associates with each radical class τ of abelian groups the (radical) class of prime radical rings with additive groups in τ gives a complete classification of those radical classes of rings which are determined (as lower radicals) by zerorings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1975 , pp. 95 - 97
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Armendariz, E.P., “Hereditary subradicals of the lower Baer radical”, Publ. Math. Debrecen 15 (1968), 91–93CrossRefGoogle Scholar
[2]Baer, Reinhold, “Meta ideals”, Report of a conference on linear algebras, 33–52 (National Research Council Publication 502. National Academy of Sciences, Washington, 1957).Google Scholar
[3]Divinsky, Nathan J., Rings and radicals (University of Toronto Press, Toronto; Allen & Unwin, London; 1965).Google Scholar
[4]Gardner, B.J., “Radicals of abelian groups and associative rings”, Acta Math. Acad. Sci. Hungar. 24 (1973), 259–268.CrossRefGoogle Scholar
[5]Gardner, B.J., “Some aspects of T-nilpotence”, Pacific J. Math, (to appear).Google Scholar
[6]Lee, Yu-Lee, “On the construction of lower radical properties”, Pacific J. Math. 28 (1969), 393–395.CrossRefGoogle Scholar
[7]Sands, A.D., “On normal radicals”, submitted.Google Scholar