A THEOREM ON DERIVATIONS ON PRIME RINGS

作者：Liu Kun Shan^*

来源：Journal of the Australian Mathematical Society, 2011, 91(2): 219-229.

DOI：10.1017/S1446788711001522

• prime ring
• derivations
• additive map
• generalized polynomial identity
• functional identity

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(x(n+1)) = Sigma(n)(j= 0) x(n-j) d(x)x(j) for all x is an element of I must be a derivation.

• 出版日期2011-10