Large Small compressible and Large Small retractable Modules

Authors

  • Rawnaq Khaleel Ibrahim Department of Mathematics, University of Baghdad, College of Science. Baghdad, Iraq.
  • Sahira M. Yassen Department of Mathematics, University of Baghdad, College of Science. Baghdad, Iraq.

DOI:

https://doi.org/10.29304/jqcsm.2025.17.32417

Keywords:

large small Compressible (LS-Compressible) module, Small submodule

Abstract

We consider R is any ring with identity and  is a non-zero unitary left R-module. In this article we introduce the notion of large small Compressible modules and large small Retractable module. Also, we will discuss and study many basic properties about these concepts 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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References

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Published

2025-09-30

How to Cite

Khaleel Ibrahim , R., & M. Yassen , S. (2025). Large Small compressible and Large Small retractable Modules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 17(3), Math 84–90. https://doi.org/10.29304/jqcsm.2025.17.32417

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Section

Math Articles