Abstract
Let $R$ be a prime ring, $I$ a nonzero ideal of $R$ and $n$ a fixed positive integer. If $R$ admits a generalized derivation $F$ associated with a nonzero derivation $d$ such that $(F(x \circ y))^{n} = x \circ y$ for all $x,y \in I$, then $R$ is commutative. We also examine the case where $R$ is a semiprime ring.
Citation
Shuliang Huang. "ON GENERALIZED DERIVATIONS OF PRIME AND SEMIPRIME RINGS." Taiwanese J. Math. 16 (2) 771 - 776, 2012. https://doi.org/10.11650/twjm/1500406614
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