Abstract
Let R be an associative ring and let be a fixed integer. An additive map h on R is called a homoderivation if holds for all In 1978, Herstein proved that a prime ring R of is commutative if there is a nonzero derivation d of R such that for all . The main objective of this paper is to prove the above mentioned result for homoderivations with nilpotency ‘s’ in prime rings. Moreover, we prove that if a prime ring admits homoderivations h1 and h2 such that and for positive integers s1 and s2, then at least one of the homoderivations must be nilpotent.
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