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Radicals of rings and their subrings
Published online by Cambridge University Press: 20 January 2009
Extract
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
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