On the normal ideals of exchange rings

An ideal $I$ of a ring $R$ is called normal if all idempotent elements in $I$ lie in the center of $R$. We prove that if $I$ is a normal ideal of an exchange ring $R$ then: (1) $R$ and $R/I$ have the same stable range; (2) $V(I)$ is an order-ideal of the monoid $C(\operatorname{Specc}(R),N)$, where $\operatorname{Specc}(R)$ consists of all prime ideals $P$ such that $R/P$ is local.