International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3539 2020 2020 General Directorate of Anbar Education, Ministry of Education, Ramadi, Anbar, Iraq Firas Firas Department of Mathematics, College of Education for Pure Sciences, University Of Anbar, Ramadi, Iraq Fawzi N. Hammad Department of Mathematics, College of Education for Pure Sciences, University Of Anbar, Ramadi, Iraq Majid Mohammed Abed Neutrosophic set is a modern branch as a generalization of fuzzy concept.  Zadeh in 1965 presented fuzzy concept and later he introduced more applications in more subjects of mathematics.  On of the type branch of mathematics is fuzzy algebra. In this work, we present and clarify several results of several modules, which has zero-kernel, and zero homomorphism in neutrosophic theory. The aim modules are mnonoform and small monoform modules.  Several concepts have been studied in this paper like Quasi-dedekind and uniform modules.  We proved that if ( ( )) is a module over neutrosophic ring ( ). If ) is a directed sum of simple submodules an  is monoform, then ) is monoform module.  Also, if  𝒯) is a semi simple ring and  𝒯) is a  𝒯)-module, so  𝒯) is small and satisfies all conditions of monoform with Q-dedekind property. On the other hand, let be an R-module. is a neutrosophic modules and generated by  and . So, is a weak neutrosophic. Finally, we presented more results, examples and properties about the topic with new results in neutrosophic algebra. 2025 2025 316 321 10.54216/IJNS.250427 https://www.americaspg.com/articleinfo/21/show/3539