Generalized Dependent Elements of Generalized Reverse Derivation on Semiprime Rings

Authors

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

Keywords

semiprime rings, derivation, generalized reverse derivation

Document Type

Research Paper

Abstract

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.

Recommended Citation

Yass, Shaimaa (2026) "Generalized Dependent Elements of Generalized Reverse Derivation on Semiprime Rings," Engineering and Technology Journal: Vol. 36: Iss. 1, Article 29.
DOI: https://doi.org/10.30684/etj.36.1B.14

DOI

10.30684/etj.36.1B.14

First Page

88

Last Page

92