Graded Le-Jgr-prime submodules in commutative graded rings
Shatha Alghueirisoalghueiri@just.edu.joDepartment of Mathematics and Statistics Faculty of Science and Arts Jordan University of Science and Technology P. O. Box 3030Irbid, 22110, JordanView full profile → , *Khaldoun Al-ZoubiCorresponding authorkfzoubi@just.edu.joDepartment of Mathematics and Statistics Faculty of Science and Arts Jordan University of Science and Technology P. O. Box 3030Irbid, 22110, Jordan0000-0001-6082-4480View full profile →
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- Received:
- 04 Mar 2025
- Published Online:
- 13 Feb 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2458
- Pages:
- 1297–1305
Abstract
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References
[1] Y. Bahturin, I. Shestakov, and M. Zaicev, “Gradings on simple Jordan and Lie algebras,” J. Algebra, vol. 283, no. 2, pp. 849-868 (20025).
[2] I. Kolar, P. W. Michor, and J. Slovak, “Natural operations in diferential geometry,” Springer science and business media (2013).
[3] C. Nastasescu, and F. Van Oystaeyen, “Methods of Graded Rings,” LNM, 1836, Berlin-Heidelberg: Springer-Verlag (2004).
[4] R. Hazrat, “Graded Rings and Graded Grothendieck Groups, Cambridge University Press,” Cambridge (2016).
[5] S.E. Atani, “On graded prime submodules,” Chiang Mai. J. Sci., vol. 33, no. 1, pp. 3-7 (2006).
[6] M. Alnimer, K. Al-Zoubi, and M. Al-Dolat, “On Graded J_gr-Prime Submodules,” Bull. Karaganda Univ., Math. Ser, vol. 117, no. 1, pp. 4-11 (2025).
[7] S. Alghueiri and K. Al-Zoubi, “On graded 2-absorbing I_e-prime submodules of graded modules over graded commutative rings,” AIMS Mathematics, vol. 5, no. 6, pp. 7624-7631 (20220).
[8] R. Abu-Dawwas and K. Al-Zoubi, “On graded weakly classical prime submodules,” Iran. J. Math. Sci. Inform., vol 12, no. 1, pp. 153-161 (2017)
[9] J. Escoriza, and B. Torrecillas, “Multiplication objects in commutative grothendieck categories,” Commun. Algebra, vol. 26, no. 6, pp. 1867-1883, (1998).
[10] A. Melhem, R. Abu-Dawwas and R. Ghozlan, “Graded S-r-ideals,” J. Discrete Math. Sci. Cryptogr., Vol. 28, no. 1, pp. 267-279 (2025).
[11] A. Ka’abneh and R. Abu-Dawwas, “On graded 1-absorbing prime submodules,” J. Discrete Math. Sci. Cryptogr., vol. 26, no. 8, pp. 2167-2181 (2023).
[12] S. Alghueiri, and K. Al-Zoubi, “On graded Ie-prime submodules of graded modules over graded commutative rings,” Publ. Inst. Math. (Belgr.), vol. 110, no. 124, pp. 47-55, (2021).




