Generalized Inverses of Matrices on an Arbitrary Division Ring
任意除环上矩阵的广义逆

In this paper, generalized inverses of matrices on an arbitrary division ring are studied by using projector operator. The characterization and representation theory of {2} inverses with prescribed range and null space are established. As an application, some new representation forms of p M-P inverse, group inverse and Drazin inverse are obtained.