References
- ABU-DAWWAS, R.—AL-ZOUBI, K.: On Graded weakly classical prime submodules, Iran. J. Math. Sci. Inform. 12 (2017), no. 1, 153–161.
- ABU-DAWWAS, R.—BATAINEH, M.—AL-MUANGER, M.: Graded prime submodules over non-commutative rings, Vietnam J. Math. 46 (2018), no. 3, 681–692.
- ALSHEHRY, A. S.—ABU-DAWWAS, R.: Graded weakly prime ideals of non-commutative rings, Comm. Algebra 49 (2021), no. 11, 4712–4723.
- ALSHEHRY, A. S.—HABEB, J. M.—ABU-DAWWAS, R.—ALRAWABDEH, A.: Graded weakly 2-absorbing ideals over non-commutative graded rings, Symmetry 14 (2022), no. 7, Article no. 1472, https://doi.org/10.3390/sym14071472.
- ATANI, S. E.: On graded weakly prime ideals,Turkish J. Math. 30 (2006), 351–358.
- BATAINEH, M.—ABU-DAWWAS, R.—SHTAYAT, J.: Almost graded multiplication and almost graded comultiplication modules, Demonstratio Math. 53 (2020), 325–331.
- ESCORIZA, J.—TORRECILLAS, B.: Multiplication objects in commutative Grothendieck category, Comm. Algebra 26 (1998), no. 6, 1867–1883.
- FARZALIPOUR, F.—GHIASVAND, P.: On the union of graded prime submodules, Thai J. Math. 9 (2011), no. 1, 49–55.
- HABEB, J. M.: A note on zero commutative and duo rings, Math. J. Okayama Univ. 32, (1990), 73—76.
- HAZRAT, R.: Graded rings and graded Grothendieck groups. Cambridge University press, Cambridge 2016.
- JAMALI, M.—NEZHAD, R. J.: On classical weakly prime submodules,Facta Universitatis. Series: Mathematics and Informatics 37 (2022), no. 1, pp. 17–30.
- KHAKSARI, K.—JAHROMI, F. R.: Multiplication graded modules, Int.J.Algebra 7 (2013), no. 1, 17–24.
- MARKS, G.: Duorings andOre extensions,J.Algebra 280 (2004), 463–471.
- NASTASESCU, C.—OYSTAEYEN, F.: Methods of graded rings. In: Lecture Notes in Mathematics, Vol. 1836, Springer-Verlag, Berlin, 2004.
- REFAI, M.—ABU-DAWWAS, R.: On generalizations of graded second submodules, Proyecciones 39 (2020), no. 6, pp. 1537–1554.
- QUARTARARO, P.—BUTTS, H. S.: Finite unions of ideals and modules, Proc. Amer. Math. Soc. 52 (1975), 91–96.
- REFAI, M., HAILAT, M. AND OBIEDAT, S.: Graded radicals and graded prime spectra, Far East J. Math. Sci. (2000), 59–73.
- SABER, H.—ALRAQAD, T.—ABU-DAWWAS, R.: On graded s-prime submodules, AIMS Math. 6 (2021), no. 3, 2510–2524. https://mathscinet.ams.org/mathscinet/relay-station?mr=4199177