Orthogonal Generalized Symmetric Higher bi-Derivations on Semiprime Г-Rings .

  • Salah Mahdi Salih Department of Mathematics, College of Education, AL-Mustansirya University, Baghdad, Iraq.
  • Samah Jaber Shaker Department of Mathematics, College of Education, AL-Mustansirya University, Baghdad, Iraq.
Keywords: Symmetric Bi-derivations Г-ring, higher bi-derivations Г-ring, generalized higher bi-derivations Г-ring, orthogonal generalized symmetric higher bi-derivations Г-ring

Abstract

In this paper a Г-ring M is presented. We will study the concept of orthogonal generalized symmetric higher bi-derivations on Г-ring. We prove that if M is a 2-torsion free semiprime    Г-ring ,  and  are orthogonal generalized symmetric higher bi-derivations  associated with symmetric higher bi-derivations   respectively for all n ϵN.

Published
2018-04-29
How to Cite
Salih, S. M., & Shaker, S. J. (2018). Orthogonal Generalized Symmetric Higher bi-Derivations on Semiprime Г-Rings . Iraqi Journal of Science, 59(2A), 711-723. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/276
Section
Mathematics