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THE GENERAL LINEAR GROUP OVER A RING

THE GENERAL LINEAR GROUP OVER A RING

Let m be any positive integer, R be a ring with identity, <TEX>$M_m(R)$</TEX> be the matrix ring of all m by m matrices eve. R and <TEX>$G_m(R)$</TEX> be the multiplicative group of all n by n nonsingular matrices in <TEX>$M_m(R)$</TEX>. In this pape., the following are investigated: (1) for any …