Let R be a simple Artinian ring,M<sub>m×n</sub>（R） be the set of all m×n matrices over R.GL<sub>n</sub>（R） be the set of all n×n invertible matrices over R.Let A<sup>T&...Let R be a simple Artinian ring,M<sub>m×n</sub>（R） be the set of all m×n matrices over R.GL<sub>n</sub>（R） be the set of all n×n invertible matrices over R.Let A<sup>T</sup> be the transpose matrix ofA∈M<sub>m×n</sub>（R）.By the Wedderburn-Artin theorem,R be isomorphic to a total matrix ringM<sub>s×s</sub>（D） over a division ring D.Let α→（α）<sub>D</sub> be an isomorphism of R onto M<sub>s×s</sub>（D）, if展开更多
基金Supported by the NSF of Hunan Provincethe Science and Technology Development Foundation of Xiangtan Polytechnic University
文摘Let R be a simple Artinian ring,M<sub>m×n</sub>（R） be the set of all m×n matrices over R.GL<sub>n</sub>（R） be the set of all n×n invertible matrices over R.Let A<sup>T</sup> be the transpose matrix ofA∈M<sub>m×n</sub>（R）.By the Wedderburn-Artin theorem,R be isomorphic to a total matrix ringM<sub>s×s</sub>（D） over a division ring D.Let α→（α）<sub>D</sub> be an isomorphism of R onto M<sub>s×s</sub>（D）, if
