Author/Authors :
De Filippis، Vincenzo نويسنده Department of Mathematics and Computer Science, University of Messina, 98166 Messina, Italy. , , Ur Rehman، Nadeem نويسنده Department of Mathemaics, Faculty of Science, Taibah University, Al-Madinah, Al-Munawara, KSA. , , Ansari، Abu Zaid نويسنده Department of Mathematics, Faculty of Science, Islamic University in Madinah, KSA. ,
Abstract :
Let R be a 2-torsion free ring and L a Lie ideal of R. An
additive mapping F : R ? R is called a generalized derivation on R if
there exists a derivation d : R ? R such that F (xy) = F (x)y+xd(y) holds
for all x, y ? R. In the present paper we describe the action of generalized
derivations satisfying several conditions on Lie ideals of semiprime rings.
