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Jordan derivations on prime rings

Published online by Cambridge University Press:  17 April 2009

M. Brešar  and
J. Vukman
M. Brešar
Affiliation:
Cankarjeva 24, 62000 Maribor, Yugoslavia
J. Vukman
Affiliation:
University of Maribor, VEKŠ, Razlagova 14, 62000 Maribor, Yugoslavia
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Abstract

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The purpose of this paper is to present a brief proof of the well known result of Herstein which states that any Jordan derivation on a prime ring with characteristic not two is a derivation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 321 - 322
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Herstein, I.N., ‘Jordan derivations of prime rings’, Proc. Amer. Math. Soc. 8 (1957), 1104–1110.CrossRefGoogle Scholar
[2]Herstein, I.N., Topics in ring theory (Chicago lectures in mathematics, 1969).Google Scholar