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On the construction of the Kurosh lower radical class for associative rings

Published online by Cambridge University Press:  09 April 2009

Daryl Kreiling  and
Terry L. Jenkins
Daryl Kreiling
Affiliation:
Western Illinois UniversityUniversity of Wyoming
Terry L. Jenkins
Affiliation:
Western Illinois UniversityUniversity of Wyoming
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Extract

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All rings considered are to be associative. For definitions not included in this paper see [2]. Let R be a ring and S a subring of R.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 3 , May 1972 , pp. 362 - 364
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Dickson, S. E., ‘A note on hypernilpotent radical properties for associative rings’, Canadian Journal of Mathematics 19 (1967), 447–448.Google Scholar
[2]Divinsky, N. J., Rings and Radicals (University of Toronto Press, Toronto, 1965).Google Scholar
[3]Hoffman, Anthony E., The Constructions of the General Theory of Radicals (Doctoral Dissertation, University of Nebraska, 1966).Google Scholar
[4]Jenkins, Terry L., The Theory of Radicals and Radical Rings (Doctoral Dissertation, University of Nebraska, 1965).Google Scholar