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

DOI：10.3770/j.issn:2095-2651.2016.02.004

 作者 单位 Driss AIAT HADJ AHMED Centre R\'egional des M\'etiers de l'\'{e}ducation et de la formation, Tanger, Morocco

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 $T$.

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 $T$.