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In this paper, firstly as a short note, we prove that a left derivation of asemiprime $\Gamma$-ring $M$ must map $M$ into its center, which improves aresult by Paul and Halder and some results by Asci and Ceran. Also we provethat a semiprime $\Gamma$-ring with a strong commutativity preservingderivation on itself must be commutative and that a strong commutativitypreserving 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, whichextends some results by Bell and Daif to semiprime $\Gamma$-rings.

Left Derivations and Strong Commutativity Preserving Maps on Semiprime $\Gamma$-Rings