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 -