On Identities with Additive Mappings in Rings

author

  • A. Z. ansari Department of Mathematics, Faculty of Science, Islamic University of Madinah, K.S.A
Abstract:

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}

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Journal title

volume 15  issue 1

pages  125- 133

publication date 2020-04

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