| 导子交换子幂值的零化子条件 |
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| 引用本文： | 黄述亮. 导子交换子幂值的零化子条件[J]. 数学研究及应用, 2019, 39(5): 489-494 |
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| 作者姓名： | 黄述亮 |
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| 作者单位： | 滁州学院数学与金融学院, 安徽 滁州 239000 |
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| 基金项目： | 安徽省自然科学基金(Grant Nos.1808085MA14; 1908085MA03), 安徽省自然科学研究重点项目(Grant No.KJ2018A0433), 滁州学院科研项目(Grant No.zrjz2017005). |
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| 摘 要： | Let R be a prime ring with center Z(R), I a nonzero ideal of R, d a nonzero derivation of R and 0≠a∈ R. In the present paper, our object is to study the situation a[d(xk), xk]n∈ Z(R) for all x ∈ I under certain conditions, where n(≥ 1), k(≥ 1) are fixed integers.
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| 关 键 词： | 素环 导子 扩展形心 |
| 收稿时间： | 2018-04-24 |
| 修稿时间： | 2018-08-29 |
Annihilator Condition on Power Values of Commutators with Derivations |
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| Shuliang HUANG. Annihilator Condition on Power Values of Commutators with Derivations[J]. Journal of Mathematical Research with Applications, 2019, 39(5): 489-494 |
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| Authors: | Shuliang HUANG |
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| Abstract: | Let $R$ be a prime ring with center $Z(R)$, $I$ a nonzero ideal of $R$, $d$ a nonzero derivation of $R$ and $0neq ain R$. In the present paper, our object is to study the situation $a[d(x^k),x^k]^nin Z(R)$ for all $x in I$ under certain conditions, where $n~(geq 1)$, $k~(geq 1)$ are fixed integers. |
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| Keywords: | prime ring derivation extended centroid |
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