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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On a theorem of Posner


Author: Mansoor Ahmad
Journal: Proc. Amer. Math. Soc. 66 (1977), 13-16
MSC: Primary 16A72
MathSciNet review: 0447348
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Abstract: Posner [1] has proved the following theorem: Let R be a prime ring$ ^{1}$ and d a derivation of R such that, for all $ a \in R,ada - daa \in Z$ (centre of R). Then, if d is not a zero derivation, R is commutative.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0447348-X
Keywords: Prime rings and derivation
Article copyright: © Copyright 1977 American Mathematical Society