On Identities with Additive Mappings in Rings

Author(s):

A. Z. Ansari*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

begin 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.the formula is not displayed correctly!

Keywords:

Prime (Semiprime) ring , Additive mappings , Generalized (Jordan) left derivations , Generalized (Jordan) derivations , (Jordan)Centralizers

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:15 Issue: 1, May 2020
Pages:
125 to 133
https://www.magiran.com/p2127016