TY - JOUR T1 - On Identities with Additive Mappings in Rings TT - JF - IJMSI JO - IJMSI VL - 15 IS - 1 UR - http://ijmsi.ir/article-1-1051-en.html Y1 - 2020 SP - 125 EP - 133 KW - Prime (Semiprime) ring KW - Additive mappings KW - Generalized (Jordan) left derivations KW - Generalized (Jordan) derivations KW - (Jordan)Centralizers. N2 - begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. 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. end{abstract} M3 10.29252/ijmsi.15.1.125 ER -