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Radicals of rings and their subrings

Published online by Cambridge University Press:  20 January 2009

E. R. PuczyŁowski
E. R. PuczyŁowski
Affiliation:
Institute of Mathematics University, Pkin, 00-901 Warsaw
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It is a fundamental fact in the theory of radicals of associative rings that if S is a radical and I is a two-sided ideal of R then S(I)⊆S(R). In view of this result it seems to be interesting to investigate radicals satisfying such or similar connections for other type of subrings. There are many works devoted to similar problems (2, 8, 8, 10). In this paper we try to get a uniform description of some facts in this area.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 3 , October 1981 , pp. 209 - 215
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

REFERENCES

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