TY - JOUR ID - TI - Generalized Dependent Elements of Generalized Reverse Derivation on Semiprime Rings AU - Shaima'a B. Yass PY - 2018 VL - 36 IS - 1 Part (B) Scientific SP - 88 EP - 92 JO - Engineering and Technology Journal مجلة الهندسة والتكنولوجيا SN - 16816900 24120758 AB - Let R be an associative ring, and Š:RR be a map, if there existsan element eR such that Š(u)e= [u,e]e, for every uR, in this case e is calledGeneralized Dependent Element of Š, and Ğ-D(Š) denote the set of allGeneralized Dependent Elements of Š. In this paper the result proved, let R besemiprime ring, and F : RR is a generalized reverse derivation, related withderivation d, then eĞ-D(F), iff, eZ(R) and eF(u) =0 for every uR.

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