Abstract
If F, D : R -> R are additive mappings which satisfy F(x(n)y(n)) = x(n)F(y(n)) + y(n)D(x(n)) for all x, y is an element of R. Then, F is a generalized left derivation with associated Jordan left derivation D on R. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems.