On Centralizers of 2-torsion Free Semiprime Gamma Rings

Abdulkareem T.  Mutlak; Abulrahman H.  Majeed

doi:10.24996/ijs.2021.62.7.23

On Centralizers of 2-torsion Free Semiprime Gamma Rings

Authors

Abdulkareem T. Mutlak Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Abulrahman H. Majeed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.7.23

Keywords:

Î“-ring, Prime Î“-ring, Semiprime Î“-ring, left centralizer, right centralizer, Jordan centralizer

Abstract

In this paper, we prove that; Let M be a 2-torsion free semiprime which satisfies the condition for all and α, β . Consider that as an additive mapping such that holds for all and α , then T is a left and right centralizer.