Large Small Submodules with Chain Conditions

Authors

Rawnaq Kh. Ibrahim Department of Mathematics, College of Science, University of Baghdad, Iraq https://orcid.org/0009-0004-9298-690X
Sahira M. Yassen Department of Mathematics, College of Science, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2026.67.5.31

Keywords:

Chained R -module, Noetherian module, Large small Submodules with ascending (respectively, descending) Chain condition

Abstract

We consider R is any ring with identity and is a non-zero unitary left R-module. In this article we study the notions of large small submodules with ascending (descending) chain conditions on large small submodules. Also, we will discuss and study many basic properties about this concept that fulfills the chain condition with its generalization to the ring. Where a submodule of is said to be large small of denoted by if for such that then is essential in .

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Published

2026-05-30

Issue

Vol 67 No 5 (2026)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]

R. K. . Ibrahim and S. M. . Yassen, “Large Small Submodules with Chain Conditions”, Iraqi Journal of Science, vol. 67, no. 5, pp. 2882–2888, May 2026, doi: 10.24996/ijs.2026.67.5.31.