Jordan generalized derivations on \sigma-prime rings

Abstract

Let R be a 2-torsion free σ-prime ring with involution σ and let U be a nonzero σ-Lie ideal of R such that u 2 ∈ U for all u ∈ U. The main goal of this work is to prove that if F is a Jordan generalized derivation on U, then F is a generalized derivation on U. Mathematics Subject Classification: 16W25, 16W20, 16U80.