We prove, in this article, that a ring R is a stable exchange ring if and only if so are all its Pierce stalks. If every Pierce stalks of R is artinian, then = u + with u, U(R) if and only if for any a R, there exist u, U(R) such that a = u + . Furthermore, there exists u U(R) such that if and only if for any a R, there exists u U(R) such that . We will give analogues to normal exchange rings. The root properties of such exchange rings are also obtained.
exchange ring;Pierce stalk;stable ring;
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