On a density condition for K0+ of von Neumann regular rings

Abstract

P.Ara and K.R.Goodearl, in [1], introduced and studied the concept of a regular ring R satisfying the following condition, which they called condition is dense in Aff(S(Ko(R)[R]))†, where Φ denotes the natural map from Ko(R) to Aff(S(Ko(R)[R])). They proved that every nonartinian, stably finite, strictly unperforated, simple regular ring satisfies condition (D). In this note we prove that a 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