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A generalization of a theorem of Wedderburn

Published online by Cambridge University Press:  17 April 2009

Steve Ligh
Steve Ligh
Affiliation:
Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana, USA.
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Abstract

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Outcalt and Yaqub have extended the Wedderburn Theorem which states that a finite division ring is a field to the case where R is a ring with identity in which every element is either nilpotent or a unit. In this paper we generalize their result to the case where R has a left identity and the set of nilpotent elements is an ideal. We also construct a class of non-commutative rings showing that our generalization of Outcalt and Yaqub's result is real.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 181 - 185
Copyright
Copyright © Australian Mathematical Society 1973

References

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