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  最后修改时间: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:
作者单位
Driss AIAT HADJ AHMED Centre R\'egional des M\'etiers de l'\'{e}ducation et de la formation, Tanger, Morocco 
摘要点击次数: 938
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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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