University of Technology-IraqEngineering and Technology Journal1681-6900361B20180101Generalized Dependent Elements of Generalized Reverse Derivation on Semiprime Rings889217535310.30684/etj.36.1B.14ENShaimaa YassMaster of Science in
Mathematics from University
of Baghdad, College of
Science, Baghdad, Iraq.Journal Article20160907Let R be an associative ring, and Š:RR be a map, if there exists<br />an element eR such that Š(u)e= [u,e]e, for every uR, in this case e is called<br />Generalized Dependent Element of Š, and Ğ-D(Š) denote the set of all<br />Generalized Dependent Elements of Š. In this paper the result proved, let R be<br />semiprime ring, and F : RR is a generalized reverse derivation, related with<br />derivation d, then eĞ-D(F), iff, eZ(R) and eF(u) =0 for every uR.https://etj.uotechnology.edu.iq/article_175353_ad925f84a3d90f0fc5a2ce5e1c21f7ec.pdf