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 |
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摘要点击次数: 3133 |
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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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