Document Details Document Type : Article In Journal  Document Title : On left (θ, φ)-derivations of prime rings On left (θ, φ)-derivations of prime rings   Subject : Mathematics  Document Language : English  Abstract : Let R be a 2-torsion free prime ring. Suppose that θ, φ are automorphisms of R. In the present paper it is established that if R admits a nonzero Jordan left (θ,θ)-derivation, then R is commutative. Further, as an application of this resul it is shown that every Jordan left (θ,θ)-derivation on R is a left (θ,θ)-derivation on R. Finally, in case of an arbitrary prime ring it is proved that if R admits a left (θ, φ)-derivation which acts also as a homomorphism (resp. anti-homomorphism) on a nonzero ideal of R, then d = 0 on R.  ISSN : 0044-8753  Journal Name : Archivum Mathematicum  Volume : 41  Issue Number : 2  Publishing Year : 1426 AH 2005 AD  Article Type : Article  Added Date : Saturday, December 31, 2011  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email محمد أشرف Ashraf, Mohammad Researcher Doctorate mashraf80@hotmail.com Files File Name Type Description  31875.pdf pdf Abstract Back To Researches Page