A ring R is clean provided that every element in R is the sum of a unit and an idempotent.
Over the last ten to fifteen years there has been an explosion of interest in this class of rings …

An element of a ring is (very) nil clean if it is the sum of an (a very) idempotent and a
nilpotent element. In this paper we investigate the uniqueness of (very) nil cleanness …

An element in a ring $ R $ is called uniquely weakly nil-clean if every element in $ R $ can
be uniquely written as a sum or a difference of a nilpotent and an idempotent in the sense of …