Bull. Korean Math. Soc. 2008 Vol. 45, No. 2, 253-261 Printed June 1, 2008
Mohammad Ashraf and Shakir Ali Aligarh Muslim University
Abstract : In this paper, we introduce the notion of generalized left derivation on a ring $R$ and prove that every generalized Jordan left derivation on a 2-torsion free prime ring is a generalized left derivation on $R$. Some related results are also obtained.
Keywords : prime rings, generalized left derivation, generalized Jordan left derivation