Jordan derivations on rings
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- by J. M. Cusack PDF
- Proc. Amer. Math. Soc. 53 (1975), 321-324 Request permission
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
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- I. N. Herstein, Topics in ring theory, University of Chicago Press, Chicago, Ill.-London, 1969. MR 0271135
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Additional Information
- © Copyright 1975 American Mathematical Society
- 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