A GENERAL CHARACTERIZATION OF ADDITIVE MAPS ON SEMIPRIME RINGS

The main purpose of this article is to prove the following main result: Let R be a 2-torsion free semiprime ring and T : R → R be a Jordan left centralizer associated with an l-semi Hochschild 2-cocycle α: R ⨯ R → R. Then, T is a left centralizer associated with α. In order to show application of this result, several corollaries concerning Jordan generalized derivations, Jordan σ-derivations, Jordan generalized σ-derivations and Jordan (σ, τ )-derivations will be presented.