  Let $R$ be a Noetherian ring and $x_1,\ldots,x_t$ a permutable regular
sequence of elements in $R$. Then there exists a finite set of primes $\Lambda$
and natural number $C$ so that for all $n_1,\ldots,n_t$ there exists a primary
decomposition $(x_1^{n_1},\ldots,x_t^{n_t})=Q_1\cap \cdots \cap Q_\ell$ so that
$\sqrt{Q_i}\in \Lambda$ and $\sqrt{Q_i}^{C(n_1+\cdots + n_t)}\subseteq Q_i$ for
all $1\leq i\leq \ell$.
