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XIX.—On the Radicals of Certain Rings of Infinite Matrices*

Published online by Cambridge University Press:  14 February 2012

E. M. Patterson
E. M. Patterson
Affiliation:
King's College, Aberdeen.
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Synopsis

Certain types of rings of infinite matrices are defined and some of their properties are discussed. The main theorems are concerned with the connections between the radical of a ring R and the radicals of rings of infinite matrices over R.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 65 , Issue 3 , 1960 , pp. 263 - 271
Copyright
Copyright © Royal Society of Edinburgh 1960

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References

REFERENCES TO LITERATURE

Chevalley, C., 1956. Fundamental Concepts of Algebra. New York: Academic Press Inc.Google Scholar
Jacobson, N., 1956. “Structure of Rings”, Amer. Math. Soc. Colloq. Publ., 37, 9–11.Google Scholar
Levitzki, J., 1954. “Contributions to the Theory of Nil Rings”, Riveon Lemat., 7, 50–70.Google Scholar
Patterson, E. M., 1961. “On Regular Automorphisms of Certain Classes of Rings”, Quart. J. Math., 12. [In the press.]CrossRefGoogle Scholar