| Centralizing and commuting generalized derivations on prime rings |
| Asif Ali and Tariq Shah |
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.
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Keywords: Prime rings; commuting and centralising maps; generalized derivations. |
MSC: 16N60, 16S20 |
Pages: 1$-$2 |
Volume 60 , Issue 1 , 2008 |
