On f - lifting modules

Mohammed, Faten Hashim; Jeathoom, Rasha Mohammed

doi:10.47974/JDMSC-2121

Open Access Research Article

On f - lifting modules

^*Faten Hashim MohammedCorresponding authorfaten.h.m@uomustansiriyah.edu.iqDepartment of MathematicsCollege of ScienceMustensiriyah UniversityBaghdad, IraqView full profile → , Rasha Mohammed JeathoomRashabaghdad10@uomustansiriyah.edu.iqDepartment of MathematicsCollege of ScienceMustensiriyah UniversityBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1153–1158Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2121 Crossmark XML

Received:: 04 Dec 2024
Published Online:: 26 Jun 2025
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2121
Pages:: 1153–1158

Abstract

This article introduces the concept for f-lifting modules definition (the R-modules W named f-lifting for T any submodule in W, there is direct summand A for W s.t. A ≤fcoeT in W). Some of the characteristics and examples were given, as well as the relationship between it and the following concepts: lifting module, δ-lifting module, f-hollow module and f-supplemented module.

Keywords

f-coessential submodules f-Hollow modules f-supplemented modules f -lifting modules

Subject Classifications

Primary 13C13Secondary 13C05

References

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