References
- Abuhlail, J. (2011). A Zariski topology for modules. Commun. Algebra 39(11):4163–4182. DOI: 10.1080/00927872.2010.519748.
- Ansari-Toroghy, H., Farshadifar, F. (2014). The Zariski topology on the second spectrum of a module. Algebra Colloq. 21(04):671–688. DOI: 10.1142/S1005386714000625.
- Ansari-Toroghy, H., Keyvani, S., Farshadifar, F. (2016). The Zariski topology on the Second spectrum of a module (II). Bull. Malays. Math. Sci. Soc. 39(3):1089–1103. DOI: 10.1007/s40840-015-0225-y.
- Atiyah, M., McDonald, I. G. (2018). Introduction to Commutative Algebra. Oxford: Addison-Wesley Publishing Company.
- Beddani, C., Messirdi, W. (2016). 2-prime ideals and their applications. J. Algebra Appl. 15(03):1650051. DOI: 10.1142/S0219498816500511.
- Bhattacharjee, P., McGovern, W. W. (2013). When Min(A)−1 is Hausdorff. Commun. Algebra 41(1):99–108.
- Callialp, F., Ulucak, G., Tekir, Ü. (2017). On the Zariski topology over an L-module M. Turk. J. Math. 41(2):326–336.
- Çeken, S., Alkan, M. (2015). On the second spectrum and the second classical Zariski topology of a module. J. Algebra Appl. 14(10):1550150. DOI: 10.1142/S0219498815501509.
- Hadji-Abadi, H., Zahedi, M. M. (1996). Some results on fuzzy prime spectrum of a ring. Fuzzy Sets Syst. 77(2):235–240. DOI: 10.1016/0165-0114(95)00042-9.
- Hamed, A. (2018). S-Noetherian spectrum condition. Commun. Algebra 46(8):3314–3321.
- Hamed, A., Malek, A. (2019). S-prime ideals of a commutative ring. Beiträge Zur Algebra Und Geometrie/Contributions to Algebra and Geometry. 61(3):533–542.
- Hassanzadeh-Lelekaami, D., Roshan-Shekalgourabi, H. (2014). Prime submodules and a sheaf on the prime spectra of modules. Commun. Algebra 42(7):3063–3077. DOI: 10.1080/00927872.2013.780063.
- Hochster, M. (1971). The minimal prime spectrum of a commutative ring. Can. J. Math. 23(5):749–758. DOI: 10.4153/CJM-1971-083-8.
- Jayaram, C., Tekir, Ü. (2018). von Neumann regular modules. Commun. Algebra 46(5):2205–2217. DOI: 10.1080/00927872.2017.1372460.
- Kim, C. (2018). The Zariski topology on the prime spectrum of a commutative ring. Doctoral Dissertation. California State University, Northridge.
- Koc, S., Ulucak, G., Tekir, U. (2019). On strongly quasi primary ideals. Bull. Korean Math. Soc. 56(3):729–743.
- Maimani, H. R., Salimi, M., Sattari, A., Yassemi, S. (2008). Comaximal graph of commutative rings. J. Algebra 319(4):1801–1808. DOI: 10.1016/j.jalgebra.2007.02.003.
- McCasland, R. L., Moore, M. E., Smith, P. F. (1997). On the spectrum of a module over a commutative ring. Commun. Algebra 25(1):79–103. DOI: 10.1080/00927879708825840.
- Munkres, J. R. (1975). Topology: A First Course, Vol. 23. Englewood Cliffs, NJ: Prentice-Hall.
- Redmond, S. P. (2003). An ideal-based zero-divisor graph of a commutative ring. Commun. Algebra 31(9):4425–4443. DOI: 10.1081/AGB-120022801.
- Sevim, E. Ş., Arabaci, T., Tekir, Ü., Koc, S. (2019). On S-prime submodules. Turk. J. Math. 43(2):1036–1046.
- Sharp, R. Y. (2000). Steps in Commutative Algebra, 2nd ed. Cambridge: Cambridge University Press.
- Tarizadeh, A. (2019). Flat topology and its dual aspects. Commun. Algebra 47(1):195–205. DOI: 10.1080/00927872.2018.1469637.
- Tekir, Ü. (2009). The Zariski topology on the prime spectrum of a module over noncommutative rings. Algebra Colloq. 16(04):691–698. DOI: 10.1142/S1005386709000650.
- Von Neumann, J. (1936). On regular rings. Proc. Natl. Acad. Sci. USA. 22(12):707–713. DOI: 10.1073/pnas.22.12.707.