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http://dx.doi.org/10.5666/KMJ.2018.58.3.481

Generalized Derivations on ∗-prime Rings

Ashraf, Mohammad (Department of Mathematics, Aligarh Muslim University)
Jamal, Malik Rashid (Department of Mathematics, Integral University)

Publication Information

Kyungpook Mathematical Journal / v.58, no.3, 2018 , pp. 481-488 More about this Journal

Abstract

Let I be a ${\ast}$ -ideal on a 2-torsion free ${\ast}$ -prime ring and $F:R{\rightarrow}R$ a generalized derivation with an associated derivation $d:R{\rightarrow}R$ . The aim of this paper is to explore the condition under which generalized derivation F becomes a left centralizer i.e., associated derivation d becomes a trivial map (i.e., zero map) on R.

Keywords

derivation; generalized derivation; ${\ast}$ -prime ring; centralizer;

Citations & Related Records

Reference

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