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On Nilpotent Derivations of Prime Rings

Chen-Lian Chuang
Proceedings of the American Mathematical Society
Vol. 107, No. 1 (Sep., 1989), pp. 67-71
DOI: 10.2307/2048036
Stable URL: http://www.jstor.org/stable/2048036
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Nilpotent Derivations of Prime Rings
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Abstract

Let R be a prime ring with center Z and let U be a noncentral Lie ideal of R. Suppose that d is a derivation of R such that dn(u) ∈ Z for all u ∈ U, where n is a fixed integer. It is shown that either dn(R) = 0 or R is an order of a 4-dimensional simple algebra over a field of characteristic 2.

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