International Journal of Nonlinear Analysis and Applications

Weakly semi-primary submodules

Document Type : Research Paper

Authors

1 Department of Physics, College of Education, University of Samarra, Iraq

2 Department of Education Al-Dur, General Directorate of Education for Salah Al-Din, Ministry of Education, Iraq

Abstract

Let R be a commutative ring with identity, and let W be a unitary R-module. In this paper, we introduced the concept of a weakly semi-primary submodule as a generalization of the primary submodule, where a submodule X of W is called weakly semi-primary if the Rad(X:W)=(X:W) is a weakly prime ideal of R, and from this work, we have provided some characteristics of weakly semi-primary submodule.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 185-190
  • Receive Date: 12 December 2021
  • Revise Date: 18 January 2022
  • Accept Date: 09 February 2022