The group ring Z(p)Cq and Ye's theorem

We generalize Ye's Theorem which states that the group ring Z((p))[C-3] is a semi-clean ring [Y. Ye, Semiclean rings, Comm. Algebra 31 (2003) 5609-5625]. The proof provided here is more efficient; it is less algorithmic but has the feature that the following statement is evident: for distinct primes p, q, the group ring Z((p))C(q) is feebly clean if and only if the order of p modulo q is at least q-1/2.