Author

• Shaimaa Yass

Master of Science in Mathematics from University of Baghdad, College of Science, Baghdad, Iraq.

Abstract

Let R be an associative ring, and Š:RR be a map, if there exists
an element eR such that Š(u)e= [u,e]e, for every uR, in this case e is called
Generalized Dependent Element of Š, and Ğ-D(Š) denote the set of all
Generalized Dependent Elements of Š. In this paper the result proved, let R be
semiprime ring, and F : RR is a generalized reverse derivation, related with
derivation d, then eĞ-D(F), iff, eZ(R) and eF(u) =0 for every uR.

Keywords

• semiprime rings
• derivation
• generalized reverse derivation

Main Subjects

• Science