关于环上矩阵乘积的广义逆

On the Generalized Inverse of the Product of the Matrices over Rings

研究环上矩阵乘积的广义逆 ,得到了其广义逆存在的充要条件 ,给出了相应广义逆的表达式 ,推广了文献 [1 ]的有关结果。

The generalized inverse of the product of matrices is studied, the necessary and sufficient conditions for its existence are obtained. The characterization of the generalized inverse is given and the results in [1] are extended.