A NOTE ON PRIME RINGS WITH LEFT DERIVATIONS

摘要

Let R be a prime rings and / ≠ 0 an ideal of R. An additive mapping D : R -> R is called a left derivation on R if D(xy) = D(x)y + xD(y), holds for all x,y R. In the present paper, we have discussed the commutativity of a prime rings admitting a left derivation D satisfying several conditions.