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

Xiaowei Xu, Jing Ma, Yuan Zhou

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 som…