STRONGLY CLEAN RINGS ON BLEACHED LOCAL RINGS

An element of a ring is called strongly clean, if it can be written as the sum of a unite and an idempotent that commute. A ring is called strongly clean, if each of its elements it strongly clean. In this paper, we investigate conditions on a local ring R that imply Tn(R) is a strongly clean ring. We will completly characterize the rings for which Mn(R) is strongly clean in R[t].