THE GENERAL LINEAR GROUP OVER A RING

Let m be any positive integer, R be a ring with identity, be the matrix ring of all m by m matrices eve. R and be the multiplicative group of all n by n nonsingular matrices in . In this pape., the following are investigated: (1) for any pairwise coprime ideals in a ring R, is isomorphic to and is isomorphic to (2) In particular, if R is a finite ring with identity, then the order of can be computed.