The main purpose of this article is to prove the following result: Let R be a 2-torsion free semiprime ring and (T, β): R→R be a Jordan generalized left centralizer. If β is an l-semi Hochschild 2-cocycle, then T is a generalized left centralizer. As application, we present several corollaries concerning Jordan σ-derivation, Jordan generalized σ-derivation and Jordan (σ, τ)-derivation.
Keywords:
Jordan derivations, Jordan centralizers, Jordan generalized centralizers, 2-torsion free semiprime rings