Semiprime RΓ-Submodules of Multiplication RΓ-Modules

  • Ali Abd Alhussein Zyarah Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Nuhad Salim Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Keywords: Γ – ring, RΓ-module, RΓ-submodule, prime RΓ-submodule

Abstract

Let R be a Γ-ring and G be an RΓ-module. A proper RΓ-submodule S of G is said to be semiprime RΓ-submodule if for any ideal I of a Γ-ring R and for any RΓ-submodule A of G such that or which implies that . The purpose of this paper is to introduce interesting results of semiprime RΓ-submodule of RΓ-module which represents a generalization of semiprime submodules.

Published
2020-05-28
How to Cite
Zyarah, A. A. A., & Al-Mothafar, N. S. (2020). Semiprime RΓ-Submodules of Multiplication RΓ-Modules. Iraqi Journal of Science, 61(5), 1104-1114. https://doi.org/10.24996/ijs.2020.61.5.19
Section
Mathematics