| Driss AIAT HADJ AHMED.On Jordan Biderivations of Triangular Matrix Rings[J].数学研究及应用,2016,36(2):162~170 |
| On Jordan Biderivations of Triangular Matrix Rings |
| On Jordan Biderivations of Triangular Matrix Rings |
| 投稿时间：2015-02-15 修订日期：2015-10-21 |
| DOI：10.3770/j.issn:2095-2651.2016.02.004 |
| 中文关键词: triangular matrix ring triangular matrix ring derivation biderivation Jordan biderivation prime ring |
| 英文关键词:triangular matrix ring triangular matrix ring derivation biderivation Jordan biderivation prime ring |
| 基金项目: |
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| 摘要点击次数: 2989 |
| 全文下载次数: 2509 |
| 中文摘要: |
| Let $R$ and $S$ be rings with identity, $M$ be a unitary $(R,S)$-bimodule and $T=\left(\begin{array}{cc}R & M \\ 0 & S\end{array}\right) $ be the upper triangular matrix ring determined by $R$, $S$ and $M$. In this paper we prove that under certain conditions a Jordan biderivation of an upper triangular matrix ring $T$ is a biderivation of $T$. |
| 英文摘要: |
| Let $R$ and $S$ be rings with identity, $M$ be a unitary $(R,S)$-bimodule and $T=\left(\begin{array}{cc}R & M \\ 0 & S\end{array}\right) $ be the upper triangular matrix ring determined by $R$, $S$ and $M$. In this paper we prove that under certain conditions a Jordan biderivation of an upper triangular matrix ring $T$ is a biderivation of $T$. |
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