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A note on the radical of row-finite matrices

Published online by Cambridge University Press:  18 May 2009

Rebecca Slover
Rebecca Slover
Affiliation:
Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
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Let Rbe an associative ring, Jan infinite index set, and Rj the ring of all J × J row-finite matrices over R. The Jacobson radical of Rwill be denoted by Γ(R).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 1 , March 1972 , pp. 80 - 81
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

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3.Patterson, E. M., On the radical of rings of row-finitematrices, Proc. Roy. Soc. Edinburgh Sect. A 66 (1961–1962), 42–46.Google Scholar
4.Sexauer, N. E. and Warnock, J. E., The radical of row-finite matrices over an arbitrary ring, Trans. Amer. Math.Soc. 139 (1969), 287–295.CrossRefGoogle Scholar
5.Slover, R., The Jacobson radical of row-finite matrices, J. of Algebra 12 (1969), 345–359.CrossRefGoogle Scholar