@article{-CENTRALIZING MAPPINGS OF SEMIPRIME -RINGS_2024, volume={53}, url={https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12831}, DOI={10.24996/}, abstractNote={Let M be a -Ring with center Z(M) and S a non-empty subset of M. A mapping F from M to M is called -centralizing on S if [x,F(x)]α= xαF(x)-F(x)αxZ(M) for all xS,α . we show that a semi-prime Γ-ring M must have a non-trivial central ideal if it admits an endomorphism which is Γ-centralizing on some non-trivial one –sided ideal.}, number={3}, journal={Iraqi Journal of Science}, year={2024}, month={Mar.}, pages={657–662} }