International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3714 2020 2020 Department of Mathematics, College of Computer Sciences and Mathematics, University of Tikrit, Tikrit, Iraq Omar Omar Department of Mathematics, College of Education for Pure Science, University Of Anbar, Ramadi, Anbar, Iraq Majid M. Abed In this paper, we study the relationships between the Neutrosophic quasi-Frobenius rings and the Neutrosophic of local rings and Artinian rings. In addition, we present study the relationship between the Neutrosophic quasi-Frobenius ring and some concepts such as Neutrosophic semisimple ring, Neutrosophic module injective and Neutrosophic Noetherian ring. Finally, we introduce some mathematical formulas with an commutative, coherent and Neutrosophic perfect ring, through which we obtain the Neutrosophic quasi-Frobenius ring. 2025 2025 292 298 10.54216/IJNS.260222 https://www.americaspg.com/articleinfo/21/show/3714