AL-Rafidain Journal of Computer Sciences and Mathematics

Abstract

An element  is known a strongly nil* clean element if a=e₁ - e₁e₂ + n , where e₁,e₂  are idempotents and n 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 I is strongly nil* clean element. We investigate some of its fundamental features, as well as its relationship to the nil clean ideal.