A Jordan Higher Reverse Left (resp. right) Centralizer on Prime ï‡-Rings

Fawaz Ra'ad  Jarullah; Salah Mehdi Salih

doi:10.24996/ijs.2020.61.9.21

Authors

Fawaz Ra'ad Jarullah Department of Mathematics, College of Education, Al-Mustansirya University, Iraq
Salah Mehdi Salih Department of Mathematics, College of Education, Al-Mustansirya University, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.9.21

Keywords:

prime ï‡-ring, higher reverse left (resp. right) centralizer, Jordan higher reverse left (resp. right) centralizer

Abstract

In this paper, we introduce the concepts of higher reverse left (resp.right) centralizer, Jordan higher reverse left (resp. right) centralizer, and Jordan triple higher reverse left (resp. right) centralizer of G-rings. We prove that every Jordan higher reverse left (resp. right) centralizer of a 2-torsion free prime G-ring M is a higher reverse left (resp. right) centralizer of M.