  Let $A$ be a Rees-like algebra of dimension $d$ and $N$ a commutative
partially cancellative torsion-free seminormal monoid. We prove the following
results. \begin{enumerate}
  \item Let $P$ be a finitely generated projective $A$-module of $\rank\geq d$.
Then $(i)$ $P$ has a unimodular element; $(ii)$ The action of $\EL(A\oplus P)$
on $\Um(A\oplus P)$ is transitive.
  \item Let $P$ be a finitely generated projective $A[N]$-module of $\rank~r$.
Then $(i)$ $P$ has a unimodular element for $r\geq\max\{3,d\}$; $(ii)$ The
action of $\EL(A[N]\oplus P)$ on $\Um(A[N]\oplus P)$ is transitive for
$r\geq\max\{2,d\}$. \end{enumerate} These improve the classical results of
Serre \cite{Se58} and Bass \cite{Ba64}.
