Document Details Document Type : Article In Journal  Document Title : On Lie ideals and Jordan generalized derivations of prime rings On Lie ideals and Jordan generalized derivations of prime rings   Document Language : Arabic  Abstract : Let R be a ring and S a nonempty subset of R. An additive mapping F: R --> R is called a generalized derivation (resp. Jordan generalized derivation) on S if there exists a derivation d: R --> R such that F(xy) = F(x)y+xd(y) (resp. F(x(2))=F(x)x+xd(x)) holds for all x, y is an element of S. Suppose that R is a 2-torsion free prime ring and U a nonzero Lie ideal of R such that u(2) is an element of U for all u is an element of U. In the present paper it is shown that if F is a Jordan generalized derivation on U, then F is a generalized derivation on U.  Journal Name : INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS  Volume : 34  Issue Number : 2  Publishing Year : 2003 AH   Added Date : Monday, June 23, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email أشرف مبارز زنقور Ashraf M Researcher     . Nadeem-Ur-Rehman Researcher     . Ali S Researcher     Back To Researches Page