Strongly Nil* Clean Ideals

An element is known a strongly nil* clean element if a=e1- e1e2 + n, wheree1,e2 are idempotents andn is nilpotent, that commute with one another. An ideal I of a ring R is called a strongly nil* clean ideal if each element of Iis strongly nil* clean element. We investigate some of its fundamental features, as well as its relationship to the nil clean ideal.