On the derivation of $x^{n}$ in a ring
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- by Douglas Bridges and Jeffrey Bergen PDF
- Proc. Amer. Math. Soc. 90 (1984), 25-29 Request permission
Abstract:
The main result of this paper gives conditions which ensure that an additive map of a ring $R$ into itself which satisfies a generalisation of the rule $d{x^n}/dx = n{x^{n - 1}}$ is a derivation on $R$.References
- I. N. Herstein, Jordan derivations of prime rings, Proc. Amer. Math. Soc. 8 (1957), 1104–1110. MR 95864, DOI 10.1090/S0002-9939-1957-0095864-2
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 25-29
- MSC: Primary 16A72; Secondary 13B10
- DOI: https://doi.org/10.1090/S0002-9939-1984-0722408-8
- MathSciNet review: 722408