Subsets of Generalized Inverse Matrices Semigroup of a n×n Matrix a and Their Properties over a Local Ring
FU Xiao-fang · Shuxue de shijian yu renshi · 2011
Let Ris a local ring,and let matrix A is an n×n similar diagonalization matrix over R.In this paper,by the matrix methods over local rings,we discuss some subsets of the generalized inverse matrices semigroup about a n×n matrix A with entries from R,and obtain the conditions about elements is invertible in these subsets and the conditions of the subsets are the normal groups,and give some properties of the generalized inverse matrices semigroup.