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:

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.

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Published

2021-07-31

Issue

Section

Mathematics

How to Cite

On Centralizers of 2-torsion Free Semiprime Gamma Rings. (2021). Iraqi Journal of Science, 7, 2351-2356. https://doi.org/10.24996/ijs.2021.62.7.23

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