University of Technology-IraqEngineering and Technology Journal1681-690034120160101On Generalized Left Derivation on Semiprime Rings879211258710.30684/etj.34.1B.10ENA. H.MajeedShaima,a B.Yassa B. YassJournal Article20160101Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x)oF(y) xoy, (4) d(x)oF(y) [x, y], for all x, yR.https://etj.uotechnology.edu.iq/article_112587_a16bcd86d4536e8ad61adf7e46e248a2.pdf