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IV.—On the Radicals of Rings of Row-finite Matrices*
Published online by Cambridge University Press: 14 February 2012
Synopsis
Let R be a ring and let ΓR be the Jacobson-Perlis radical. It is shown that the radical of the ring of row-finite matrices over R is the ring of row-finite matrices over ΓR if and only if ΓR is right-vanishing. This is done by extending the results of an earlier paper. One interesting consequence of the theorem is noted.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 66 , Issue 1 , 1962 , pp. 42 - 46
- Copyright
- Copyright © Royal Society of Edinburgh 1962