A Jordan Higher Reverse Left (resp. right) Centralizer on Prime -Rings

  • 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
Keywords: prime -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.

Published
2020-09-29
How to Cite
Jarullah, F. R., & Salah Mehdi Salih. (2020). A Jordan Higher Reverse Left (resp. right) Centralizer on Prime -Rings. Iraqi Journal of Science, 61(9), 2341-2349. https://doi.org/10.24996/ijs.2020.61.9.21
Section
Mathematics