On Centralizers of 2-torsion Free Semiprime Gamma Rings

  • 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
Keywords: Γ-ring, Prime Γ-ring, Semiprime Γ-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.

Published
2021-07-31
How to Cite
Mutlak, A. T., & Majeed, A. H. (2021). On Centralizers of 2-torsion Free Semiprime Gamma Rings. Iraqi Journal of Science, (7), 2351-2356. https://doi.org/10.24996/ijs.2021.62.7.23
Section
Mathematics