Abstract
The main purpose of this paper is to study generalized derivations in rings with involution which behave like strong commutativity preserving mappings. In fact, we prove the following result: Let R be a noncommutative prime ring with involution of the second kind such that char(R) not equal 2. If R admits a generalized derivation F : R -> R associated with a derivation d : R -> R such that [F(x),F(x*)] - [x, x*] = 0 for all x is an element of R, then F(x) = x for all x is an element of R or F(x) = -x for all x is an element of R. Moreover, a related result is also obtained.