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On a class of simple rings

Published online by Cambridge University Press:  26 February 2010

P. M. Cohn
P. M. Cohn
Affiliation:
The University, Manchester 13.
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Extract

Our object in this note is to construct rings such that

More generally we prove the following embedding theorem (Theorem 5.1) from which rings satisfying (I) are easily constructed:

Any algebra over a field F which contains no zero-divisors or unit-element may be embedded in an algebra over F satisfying (I).

Type
Research Article
Information
Mathematika , Volume 5 , Issue 2 , December 1958 , pp. 103 - 117
Copyright
Copyright © University College London 1958

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References

1.Jacobson, N., “The equation ”, Bull. American Math. Soc., 50 (1944), 902–905.CrossRefGoogle Scholar
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5.Kleinfeld, E., “A note on Moufang-Lie rings”, Proc. American Math. Soc, 9 (1958), 72–74.CrossRefGoogle Scholar