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A THEOREM ON DERIVATIONS ON PRIME RINGS
Published online by Cambridge University Press: 18 November 2011
Abstract
Let R be a prime ring, let I be a nonzero ideal of R and let n be a fixed positive integer. We prove that if the characteristic of R is either 0 or a prime p that is greater than 2n, then an additive map d that satisfies d(xn+1)=∑ nj=0xn−jd(x)xj for all x∈I must be a derivation.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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