P.Ara and K.R.Goodearl, in [1], introduced and studied the concept of a regular ringRsatisfying the following condition, which they calledconditionis dense inAff(S(Ko(R)[R]))†, where Φ denotes the natural map fromKo(R)toAff(S(Ko(R)[R])).They proved that every nonartinian, stably finite, strictly unperforated, simple regular ring satisfies condition (D). In this note we prove thata regular ring R satisfies condition (D) if and only if R has no nonzero artinian homomorphic image.We then obtain as a consequence that every nonartinian, simple regular ring satisfies condition (D