International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1960 2020 2020 Department of Mathematics, College of Education for Pure Sciences, University Of Anbar, Anbar, Iraq Majid Mohammed Abed Department of Mathematics, College of Education for Pure Sciences, University Of Anbar, Anbar, Iraq Abdulsalam F. Talak Ministry of Education, General Directorate of Education in Anbar Governorate, Anbar, Iraq Firas N. Hameed In this article, we characterize a singular module and present several new strong relationships with neutrosophic (NC) properties. Some properties and characterizations neutrosophic of singular modules are given. Also, different basic results about these modules are considered. Moreover; for a (R  I)-module; if NC(M I) over NC(R I), then NC(Z(M I)) ≤ NC(M I). Any neutrosophic simple module is either nonsingular or singular. On the other hand, if NC(RUI) has no zero divisors then NC(Z(MUI)) = NC(T(MUI)) where NC(T(MUI)) is a neutrosophic torsion module.  Finally, some definitions and properties of neutrosophic singular module have been presented in this article. 2023 2023 30 35 10.54216/IJNS.210403 https://www.americaspg.com/articleinfo/21/show/1960