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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Nilpotency of derivatives on an ideal


Authors: L. O. Chung and Jiang Luh
Journal: Proc. Amer. Math. Soc. 90 (1984), 211-214
MSC: Primary 16A72; Secondary 16A12
MathSciNet review: 727235
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Abstract: Let $ R$ be a prime ring and $ \partial $ a derivation of $ R$. It is shown that if $ {\partial ^m}I = (0)$ for some nonzero ideal $ I$ in $ R$, then $ {\partial ^m}R = (0)$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0727235-3
PII: S 0002-9939(1984)0727235-3
Keywords: Derivations, prime rings, nilpotency
Article copyright: © Copyright 1984 American Mathematical Society