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On intersections and unions of radical classes

Published online by Cambridge University Press:  09 April 2009

Yu-Lee Lee  and
R. E. Propes
Yu-Lee Lee
Affiliation:
Kansas State University
R. E. Propes
Affiliation:
New York State University College at Potsdam
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Extract

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Let A be a class of rings, and let L(A) denote the lower radical class determined by A. In [3] Yu-Lee Lee showed that L(A) may b constructed in the following manner: Let H(A) be the class of all homomorphic images of rings in A.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 3 , May 1972 , pp. 354 - 356
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Jenkins, T. L., The theory of radicals and radical rings (Ph.D. thesis, University of Nebraska, 1966).Google Scholar
[2]Hoffman, A. E. & Leavitt, W. G., ‘Properties inherited by the lower radical’ (to appear).Google Scholar
[3]Yu-lee Lee, , ‘On the construction of lower radical properties of rings’, Pacific Journal of Math. (to appear).Google Scholar
[4]Yu-lee Lee, , ‘On the construction of upper radical properties’, Proc. Amer. Math. Soc. 19, No. 5, (1968).Google Scholar