  In this paper, firstly as a short note, we prove that a left derivation of a
semiprime $\Gamma$-ring $M$ must map $M$ into its center, which improves a
result by Paul and Halder and some results by Asci and Ceran. Also we prove
that a semiprime $\Gamma$-ring with a strong commutativity preserving
derivation on itself must be commutative and that a strong commutativity
preserving endomorphism on a semiprime $\Gamma$-ring $M$ must have the form
$\sigma(x)=x+\zeta(x)$ where $\zeta$ is a map from $M$ into its center, which
extends some results by Bell and Daif to semiprime $\Gamma$-rings.
