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

[1] D. X. Zhou and X. R. Zhang, “Small-Essential Submodules and Morita Duality,” Southeast Asian Bull. Math., vol. 35, pp. 1051–1062 (2011).
[2] M. S. Abbas and F. H. Mohammed, “Small-Singular Submodules and SY-Extending Modules,” ijst, vol. 2, no. 6 (2016).
[3] F. H. Mohammed, “F-Hollow modules,” J. Phys. Conf. Ser., vol. 2322, no. 1 (2022), doi: 10.1088/1742-6596/2322/1/012003.
[4] F. H. Mohammed and F. H. Mohammed, “ƒ-small submodules ƒ-supplemented modules,” vol. 080007, no. March (2023).
[5] Y. Zhou, “Generalizations of Perfect, Semiperfect, and Semiregular Rings,” Algebr. Colloq., vol. 7, no. 3, pp. 305–318 (2000), doi: 10.1007/s10011-000-0305-9.
[6] M.T.Kosan, “δ-Lifting and δ-Supplemented Modules.pdf,” Algebr. Colloq., vol. 14, no. 1, pp. 53–60 (2007).
[7] T. Journal and O. F. Mathematics, “ON HOLLOW-LIFTING MODULE.pdf,” vol. 11, no. 2, pp. 545–568 (2007).
[8] Furat H. Mohammed, Doha Adel Abbass, and Shaymaa Noori Abd-Alridah, “F-coessential submodules,” Journal of Discrete Mathematical Sciences and Cryptography (2024).
[9] Wissam H. Hanoon, Muna B. Salman, and Khulood A. Salem, “Fuzzy Soc–Small Two-Absorbing Modules and Related Concepts,” Babylonian Journal of Mathematics, vol. 2024, pp. 198–204 (2024).

Views: 236Downloads: 105Citations: 0