On e* SS-small submodules and e* SS-hollow modules
*Amer S. AbdulrahmanCorresponding authoralazawyamer74@gmail.comDepartment of PhysicsFaculty of ScienceWasit UniversityWasit, IraqView full profile → , Wasan Khalidwasan.Hasan@sc.uobaghdad.edu.iqDepartment of MathematicsFaculty of ScienceBaghdad UniversityBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 12 Mar 2025
- Published Online:
- 15 Jan 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2323
- Pages:
- 185–191
Abstract
Keywords
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References
[1] Friedrich Kasch, Modules and Rings, vol. 17. New York, NY, USA: Academic Press (1982).
[2] Inaam M. A. Hadi and Sameeah H. Aidi, “On e-small submodules,” Ibn Al-Haitham Journal for Pure and Applied Sciences, vol. 28, no. 3, pp. 214–222 (2015).
[3] Khawlah Ahmed and Nuhad Salim Al-Mothafar, “Pr-small R-submodules of modules and Pr-radicals,” Journal of Interdisciplinary Mathematics, vol. 26, no. 7, pp. 1511–1516 (2023), doi: 10.47974/JIM-1573.
[4] DX Zhou and XR Zhang, “Small-essential submodules and Morita duality,” Southeast Asian Bulletin of Mathematics, vol. 35, no. 6, pp. 1051–1062 (2011).
[5] Kenneth R. Goodearl, Ring Theory: Nonsingular Rings and Modules, vol. 33. New York, NY, USA: Marcel Dekker (1976).
[6] A. Çiğdem Özcan, “Modules with small cyclic submodules in their injective hulls,” Communications in Algebra, vol. 30, no. 4, pp. 1575–1589 (2002).
[7] Hiba Rabeea Baanoon and Wasan Khalid, “e*-essential submodules,” European Journal of Pure and Applied Mathematics, vol. 15, no. 1, pp. 224–228 (2022).
[8] Mehdi Sadiq Abbas and Faten Hashim Mohammed, “Small-singular submodules and SY-extending modules,” International Journal of Advanced Scientific and Technical Research, vol. 2, no. 6, pp. 42–53 (2016).
[9] Ali Abd Kabban and Wasan Khalid, “On e*-singular small submodules,” in AIP Conference Proceedings, vol. 3264, no. 1, Art. no. 050063 (Mar. 2025).
[10] Ali Abd Kabban, e-Singular Small Submodules and Related Concepts*, Ph.D. dissertation, University of Baghdad, Baghdad, Iraq (2025).
[11] Paul Fleury, “Hollow modules and local endomorphism rings,” Pacific Journal of Mathematics, vol. 53, no. 2, pp. 379–385 (1974).
[12] Amira Amer Abduljaleel and Sahira Mahmood Yaseen, “On large-small submodules and large-hollow modules,” in Journal of Physics: Conference Series, vol. 1818, no. 1, Art. no. 012214 (2021).
[13] Muna Abbas Ahmed, Iman Abdulhadi Dhari and Zainab Abed Atiya “Purely Small Submodules and Purely Hollow Modules,” Iraqi Journal of Science, vol.63, no.12, pp.5487-5495 (2022).
[14] Amina T. Hamad and Alaa Abbas Elewi, “Z-small submodules and Z-hollow modules,” Iraqi Journal of Science, vol. 62, no. 8, pp. 2708–2713 (2021).
[15] Veli Erdoğdu, “Distributive modules,” Canadian Mathematical Bulletin, vol. 30, no. 2, pp. 248–254 (1987).
[16] Derya Keskin, “On lifting modules,” Communications in Algebra, vol. 28, no. 7, pp. 3427–3440 (2000).
