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Open Access Research Article

Recent result about Loc (Nie) - hollow fuzzy modules and related concepts

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pp. 1291–1296Vol. 29Issue 3March 2026DOI: 10.47974/JDMSC-2320 Crossmark XML
Received:
02 Jun 2025
Published Online:
13 Mar 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2320
Pages:
1291–1296

Abstract

Throughout the work, demonstrate and study (LC (Nie)-H-F M) as generalization of concepts (L(Nie)-hollow modules). We give several fundamental properties about this concept. 

Keywords

Subject Classifications

05C38

References

[1] Mohammad Mahdi Zadehi, “On L-fuzzy residual quotient modules and P-primary submodules,” Fuzzy Sets and Systems, vol. 51, pp. 331–344 (1992).
[2] Masoud Mashinchi and Mohammad Mahdi Zadehi, “On L-fuzzy primary submodules,” Fuzzy Sets and Systems, vol. 49, no. 2, pp. 231–236 (1992).
[3] Luis Martinez, “Fuzzy modules over fuzzy rings in connection with fuzzy ideals of rings,” Journal of Fuzzy Mathematics, vol. 4, pp. 843–858 (1996).
[4] Nijad Shihab Buthyna and Yasir Khalaf Hatam, “Fuzzy-small submodules with study of most important relevant results,” in Proceedings of the 2nd Al-Noor International Conference for Science and Technology (NICST), Baku, Azerbaijan, Aug. 28–29, pp. 137–140 (2020).
[5] Karam Marhon Hassan and Yasir Hatam Khalaf, Fuzzy Closed Submodules and Fuzzy W-Closed Submodules with Their Generalization, Ph.D. dissertation, University of Baghdad, Baghdad, Iraq (2020).
[6] Inaam Mohammed Hadi and Myson Abdul Hamil, “Cancellation and weakly cancellation fuzzy modules,” Journal of Basrah Researches (Sciences), vol. 37, no. 4 (2011).
[7] Wei Jian Liu, “Fuzzy invariant subgroups and fuzzy ideals,” Fuzzy Sets and Systems, vol. 8, no. 2, pp. 133–139 (1982).
[8] Saifur Rahman and Helen K. Saikia, “Fuzzy small submodule and Jacobson L-radical,” International Journal of Mathematics and Mathematical Sciences, vol. 2011, Art. no. 980320, pp. 1–12 (2011).
[9] Ramesh Kumar, Shiv Kumar Bhambri, and Pradeep Kumar, “Fuzzy submodules: Some analogues and deviations,” Fuzzy Sets and Systems, vol. 70, no. 1, pp. 125–130 (1995).
[10] Nijad Shihab Buthyna and Heba Mohammed Ali Judi, “Max-fully cancellation modules,” Journal of Advances in Mathematics, vol. 11, no. 7, pp. 5462–5475 (2015), doi: 10.24297/jam.v11i7.1225.
[11] Shaheed Jassim Kharbeet and Hatam Yasir Khalaf, “Recent results about loc(P)-hollow fuzzy modules and related concepts,” in AIP Conference Proceedings, vol. 2834, no. 1, Art. no. 080016 (Dec. 2023).
[12] Israa Sattar Ahmed, Ahmed Al-Fayadh, Hassan Hadi Ebrahim, and Luma Sabah Abdalbaqi, “Implementation of the neutrosophic sets in measurable space with respect to neutrosophic ring,” International Journal of Neutrosophic Science, vol. 25, no. 3, pp. 187–193 (2025), doi: 10.54216/IJNS.250317.

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