References
- Ahmadi, M., Moghaderi, J. (2022). n-Submodules. Iran. J. Math. Sci. Inform. 17:177–190. DOI: 10.52547/ijmsi.17.1.177.
- Ahmed, H., Achraf, M. (2020). S-prime ideals of a commutative ring. Beitr Algebra Geom. 61:533–542.
- Ahmed, H., Sana, H. (2016). Modules satisfying the S-Noetherian property and S-ACCR. Commun. Algebra 44:1941–1951. DOI: 10.1080/00927872.2015.1027377.
- Anderson, D. D., Dumitrescu, T. (2002). S-Noetherian rings. Commun. Algebra 30:4407–4416. DOI: 10.1081/AGB-120013328.
- Ansari-Toroghy, H., Pourmortazavi, S. S. (2022). On S-primary submodules. Int. Electron. J. Algebra 31:74–89. DOI: 10.24330/ieja.1058417.
- Atiyah, M. F., MacDonald, I. G. (1969). Introduction to Commutative Algebra. Reading, MA: Addison-Wesley Publishing Company.
- Bilgin, Z., Reyes, M. L., Tekir, U. (2018). On right S-Noetherian rings and S-Noetherian modules. Commun. Algebra 46:863–869. DOI: 10.1080/00927872.2017.1332199.
- Farshadifar, F. (2021). S-secondary submodules of a module. Commun. Algebra 49:1349–1404.
- Fisher, J. W. (1970). The primary decomposition theory for modules. Pac. J. Math. 35:359–367. DOI: 10.2140/pjm.1970.35.359.
- Gopal Krishnan, N. S. (2016). Commutative Algebra, 2nd ed. Himayatnagar, India: Universities Press.
- Heinzer, W., Lantz, D. (1981). The Laskerian property in commutative rings. J. Algebra 72:101–104. DOI: 10.1016/0021-8693(81)90313-6.
- Lasker, E. (1905). Zur theorie der modulun and ideale. Math. Ann. 60:20–116. DOI: 10.1007/BF01447495.
- Lu, C. P. (2010). Modules with Noetherian spectrum. Commun. Algebra 38:807–828. DOI: 10.1080/00927870802578050.
- Massaoud, E. (2022). S-primary ideals of a commutative ring. Commun. Algebra 50:988–997. DOI: 10.1080/00927872.2021.1977939.
- Matsumura, H. (1980). Commutative Algebra, 2nd ed. Nagoya: Nagoya University.
- Noether, E. (2021). Idealtheorie in Ringbereichen. Math. Ann. 83:24–66. DOI: 10.1007/BF01464225.
- Sevim, E. S., Arabaci, T., Tekir, U., Koc, S. (2019). On S-prime submodules. Turk. J. Math. 43:1036–1046. DOI: 10.3906/mat-1808-50.
- Singh, T., Ansari, A. U., Kumar, S. D. (2023). S-Noetherian rings, modules and their generalizations. Surv. Math. Appl. 18:163–182.
- Singh, T., Ansari, A. U., Kumar, S. D. (2024). S-primary decomposition in S-Noetherian rings. arXiv:2401.00922.
- Subramanian, V. (2022). Some results on S-primary ideals of a commutative ring. Beitr Algebra Geom. 63:247–266.