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Primitive distributively generated near-rings

Published online by Cambridge University Press:  26 February 2010

R. R. Laxton
R. R. Laxton
Affiliation:
Royal Holloway College, London.
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Extract

In ring theory there is the following theorem (cf. [1], p. 39):

If R is a ring satisfying the descending chain condition for left ideals, then the following three conditions are equivalent: (i) R is primitive, (ii) R is simple, and (iii) R is isomorphic to the complete ring of linear transformations in a finite dimensional vector space over a division ring.

Type
Research Article
Information
Mathematika , Volume 8 , Issue 2 , December 1961 , pp. 142 - 158
Copyright
Copyright © University College London 1961

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References

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