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Derivations of Higher Order in Prime Rings

Published online by Cambridge University Press:  20 November 2018

Youpei Ye  and
Jiang Luh
Youpei Ye
Affiliation:
Department of Computer Science, Nanjing University of Science and Technology, Nanjing, China
Jiang Luh
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, U.S.A.
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Abstract

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Let R be a prime ring of characteristic not 2 and d a derivation of R. It is shown that if d2n is a derivation of R, where n is a positive integer, then d2n-1 = 0.

Keywords

Primary: 16W25secondary: 16N60Derivationprime ringnilpotent derivation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 3 , 01 September 1996 , pp. 376 - 384
Copyright
Copyright © Canadian Mathematical Society 1996

References

1. Chung, L. O. and Jiang Luh, Nilpotency of derivations, Canad. Math. Bull. 26(1983), 342–346.Google Scholar
2. Martindale, W. S. III and Miers, C. R., On the iterates of derivations of prime rings, Pacific J. Math. 104(1983), 179–190.Google Scholar
3. Posner, E. C., Derivations in prime rings, Proc. Amer. Math. Soc. 8(1957), 1093–1100.Google Scholar