Abstract
The main result of this paper is that: If R is a weak right PS-ring, then A = R[x; alpha, delta], the Ore extension ring, is a weak right PS-ring whenever the following conditions hold on R is an (alpha, delta)-compatible NI-ring with nil(R) nilpotent, alpha(e) = e and delta(e) = 0 for every idempotent e is an element of R.