Title of article
On Identities with Additive Mappings in Rings
Author/Authors
Ansari, Abu Zaid Department of Mathematics - Faculty of Science - Islamic University of Madinah, K.S.A
Pages
9
From page
125
To page
133
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.
Keywords
Prime (Semiprime) ring , Additive mappings , Generalized (Jordan) left derivations , Generalized (Jordan) derivations , (Jordan) Centralizers
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Serial Year
2020
Record number
2527304
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