Abstract

Let $R$ be a prime ring and $d$ a derivation on $R$. If $f$ is a generalized derivation on $R$ such that $f$ is centralising on a left ideal $U$ of $R$, then $R$ is commutative.

Keywords: Prime rings; commuting and centralising maps; generalized derivations.

MSC: 16N60, 16S20

Pages:  1--2     

Volume  60 ,  Issue  1 ,  2008