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Notes on a radical of Divinsky

Published online by Cambridge University Press:  20 January 2009

A. D. Sands
A. D. Sands
Affiliation:
Department of Mathematics and Computer ScienceUniversity of DundeeDundee, DD1 4HNScotland
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In his book [1] Divinsky refers to eight radicals as classical. In [6] radicals were considered such that the radical of each one-sided ideal of a ring may be expressed as the intersection of a left ideal and a right ideal of the ring. From results obtained there it was deduced that seven of these eight radicals have this property. The purpose of this note is to give a proof that this property also holds for the remaining one of these classical radicals.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 1 , February 1989 , pp. 31 - 32
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

REFERENCES

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