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Generators of simple algebras

Published online by Cambridge University Press:  17 April 2009

David Choate
David Choate
Affiliation:
Department of Mathematics, University of Southwestern Louisiana, Lafeyette, Louisiana 70504, USA.
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Abstract

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It is shovn that simple algebras of characteristic not equal to 2, which contain non-trivial elements that satisfy xn = x for some fixed, minimal integer n > 1, are generated by these elements.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 3 , June 1982 , pp. 433 - 440
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Herstein, I.N., Topics in ring theory (University of Chicago Press, Chicago and London, 1965).Google Scholar