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Jordan derivations on rings


Author: J. M. Cusack
Journal: Proc. Amer. Math. Soc. 53 (1975), 321-324
MSC: Primary 16A72
DOI: https://doi.org/10.1090/S0002-9939-1975-0399182-5
MathSciNet review: 0399182
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Abstract: I. N. Herstein has shown that every Jordan derivation on a prime ring not of charactetistic $ 2$ is a derivation. This result is extended in this paper to the case of any ring in which $ 2x = 0$ implies $ x = 0$ and which is semiprime or which has a commutator which is not a zero divisor.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0399182-5
Keywords: Jordan derivation, semiprime
Article copyright: © Copyright 1975 American Mathematical Society

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