On graded weakly quasi n-absorbing submodule
*Mariam Al-AzaizehCorresponding authormaalazaizeh15@sci.just.edu.joDepartment of Mathematics The University of JordanAmman, JordanView full profile → , Khaldoun Al-Zoubikfzoubi@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 →
* Corresponding author · click or hover a name for details
- Received:
- 08 Nov 2023
- Published Online:
- 08 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1895
- Pages:
- 2399–2412
Abstract
Keywords
Subject Classifications
References
[1] M. Refai and K. Al-Zoubi, “On graded primary ideals”, Turk. J. Math., vol. 28, no. 3, pp. 217-229 (2004).
[2] K. Al-Zoubi, R. Abu-Dawwas, and S. Çeken, “On graded 2-absorbing and graded weakly 2-absorbing ideals”, Hacet. J. Math. Stat., vol. 48, no. 3, pp. 724-731 (2019).
[3] K. Al-Zoubi and F. Qarqaz, “An intersection condition for graded prime submodules in Gr-multiplication modules”, Math. Reports, vol. 20, no. 3, pp. 329-336 (2018).
[4] S. E. Atani, “On graded prime submodules”, Chiang Mai J. Sci., vol. 33, no. 1, pp. 3-7(2006).
[5] K. H. Oral, U. Tekir, and A. G. Agargun, “On graded prime and primary submodules”, Turk. J. Math., vol. 35, pp. 159-167 (2011).
[6] K. Al-Zoubi and R. Abu-Dawwas, “On graded 2-absorbing and weakly graded 2-absorbing submodules”, J. Math. Sci. Adv. Appl., vol. 28, pp. 45-60 (2014).
[7] K. Al-Zoubi and M. Al-Azaizeh, “Some properties of graded 2-absorbing and graded weakly 2-absorbing submodules”, J. Nonlinear Sci. Appl., vol. 12, no. 8, pp. 503-508 (2019).
[8] K. Al-Zoubi, I. Al-Ayyoub, and M. Al-Dolat, “On graded 2-absorbing compactly packed modules”, Adv. Stud. Contemp. Math. (Kyungshang), vol. 28, no. 3, pp. 479-486 (2018).
[9] M. Hamoda and A. E. Ashour, “On graded n-absorbing submodules”, Le Matematiche, vol. 70, no. 2, pp. 243-254(2015).
[10] R. Hazrat, Graded Rings and Graded Grothendieck Groups. Cambridge: Cambridge University Press (2016).
[11] C. Nastasescu, F. Van Oystaeyen, Graded and filtered rings and modules, Lecture notes in mathematics 758, Berlin-New York: Springer-Verlag (1982).
[12] C. Nastasescu and F. Van Oystaeyen, Graded Ring Theory, Mathematical Library 28, North Holland, Amsterdam (1982).
[13] C. Nastasescu and F. Van Oystaeyen, Methods of Graded Rings, Lecture Notes in Mathematics 1836, Berlin-Heidelberg: Springer-Verlag (2004).
[14] S. Goto and K. Yamagishi, “Finite generation of Noetherian graded rings”, Proc. Amer. Math. Soc., vol. 89, no. 1, pp. 41-44 (1983).




