A NOTE ON SKEW DERIVATIONS IN PRIME RINGS

作者：De Filippis Vincenzo^*; Fosner Ajda

来源：Bulletin of the Korean Mathematical Society, 2012, 49(4): 885-898.

DOI：10.4134/BKMS.2012.49.4.885

• skew derivation
• automorphism
• prime ring

Let m,n,r be nonzero fixed positive integers, R a 2-torsion free prime ring, Q its right Martindale quotient ring, and L a non-central Lie ideal of R. Let D : R -%26gt; R be a skew derivation of R and E(x) = D(x(m+n+r)) - D(x(m))x(n+r) - x(m) D(x(n))x(r) - x(m+n)D(x(r)). We prove that if E(x) = 0 for all x is an element of L, then D is a usual derivation of R or R satisfies s(4)(x(1), . . . , x(4)), the standard identity of degree 4.

• 出版日期2012-7