  Let $A$ be a ring of dimension $d$. Assume that for every finite extension
ring $R$ of $A$, E_{d+1}(R) acts transitively on Um_{d+1}(R). Then we prove
that E(A\oplus P) acts transitively on Um(A\oplus P), for any projective
A-module P of rank d. As a consequence of this, we generalise some results of
Gubeladze.
