Orthogonal Generalized Symmetric Higher bi-Derivations on Semiprime ?-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 ?-ring, higher bi-derivations ?-ring, generalized higher bi-derivations ?-ring, orthogonal generalized symmetric higher bi-derivations ?-ring

Abstract

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

Published
2018-04-29
How to Cite
SalihS. M., & ShakerS. J. (2018). Orthogonal Generalized Symmetric Higher bi-Derivations on Semiprime ?-Rings . Iraqi Journal of Science, 59(2A), 711-723. Retrieved from http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/276
Section
Mathematics