整环上广义逆A_(T,S)^((2))的刻画

A Characterization of the Generalized Inverse A_(T,S)^((2)) over Integral Domains

若A为整环上的n阶可逆矩阵,则X=A-1是满足方程ρ(I X A I)=ρ(A)的惟一矩阵.把它推广到射影自由的整环上得到关于矩阵A的广义逆A T,S(2)的刻画.

If A is an invertible matrix of order n over an integral domain, the inverse of A is the uniquematrix X such that p（I^A X^I）.In this paper, we generalize this fact to any general matrix over anintegral domain which is projective free to obtain an analogous result for the generalized inverse AT,S（2）.