International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1393 2020 2020 Rajagiri School of Engineering and Technology, Kerala, India Binu. R. The paper focuses on neutrosophic algebraic structures and operations applicability to the study of classical al-gebraic structures, particularly the R-module. The definition of neutrosophic submodules P and Q was further developed upon in this work in order to create neutrosophic submodules of P + Q. In this study, the neutrosophic submodule of the direct sum M ⊕ N is constructed, analyzed, and its associated results are examined. Additionally, several algebraic results of the neutrosophic submodule’s direct sum of a non-empty arbitrary family of submodules are examined. 2022 2022 29 36 10.54216/IJNS.190402 https://www.americaspg.com/articleinfo/21/show/1393