ON IDEALS AND ORTHOGONAL GENERALIZED DERIVATIONS OF SEMIPRIME RINGS

In this paper, some results concerning orthogonal general- ized derivations are generalized for a nonzero ideal of a semiprime ring. These results are a generalization of results of M. Bre sar and J. Vukman in (3), which are related to a theorem of E. Posner for the product of derivations on a prime ring.