Annihilator condition on power values of commutators with derivations
Annihilator condition on power values of commutators with derivations

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 作者 单位 E-mail 黄述亮 滁州学院数学与金融学院 shulianghuang@sina.com

Let $R$ be a prime ring with center $Z(R)$, $I$ a nonzero ideal of $R$, $d$ a nonzero derivation of $R$ and $0\neq a\in R$. In the present paper, our object is to study the situation $a[d(x^k),x^k]^n\in Z(R)$ for all $x \in I$ under certain conditions, where $n(\geq 1), k(\geq 1)$ are fixed integers
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