Let R be an associative ring with identity. An element x∊R is said to be weakly exchange if there exists an idempotent e∊R such that e∊xR and 1−e∊(1−x)R or 1−e∊(1+x)R. The ring R is said to be weakly exchange if all of its elements are weakly exchange. In this paper an element-wise characterization is given, and it is shown that weakly-Abel weakly exchange rings are weakly clean. Moreover, a relation between unit regular rings and weakly clean rings is also obtained.
 Camillo, V. P.Khurana, D.2001A characterization of unit regular ringsComm. Algebra292293–2295.