-ELEMENTS IN A COMMUTATIVE RING WITH UNITY
In this paper, we introduce and study -elements in a commutative ring R with unity. An element is said to be a -element of R if whenever for then there exists such that We show that every idempotent element of R is a -element of R, every -element of R is also a -element of its polynomial ring and if x is an idempotent element of R, then is a -element of its quotient ring for any ideal J of R.
nilpotent element, annihilator.