Weakly semi-primary submodules

Document Type : Research Paper


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


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 \(\mathrm{Rad}(X:W) = \sqrt{(X:W)}\) is a weakly prime ideal of $R$, and from this work, we have provided some characteristics of weakly semi-primary submodule.


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Volume 13, Issue 2
July 2022
Pages 185-190
  • Receive Date: 12 December 2021
  • Revise Date: 18 January 2022
  • Accept Date: 09 February 2022