On nilpotent homoderivations in semi-prime rings

Let R be an associative ring and let s >= 1 be a fixed integer. An additive map h on R is called a homoderivation if h(xy) = h(x)h(y) + h(x)y + xh(y) holds for all x, y is an element of R. In [4,5,6], Chung and Luh proved several results about the nilpotency of derivations in semi-prime rings. Similarly, the main objective of this paper is to provide a complete study about the nilpotency of homoderivations with nilpotency 's' in semi-prime rings.