aspg-21-3714-1791465335 20261008131535 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 2 Omar A. Khashan Department of Mathematics, College of Computer Sciences and Mathematics, University of Tikrit, Tikrit, Iraq Majid M. Abed Department of Mathematics, College of Education for Pure Science, University Of Anbar, Ramadi, Anbar, Iraq 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 292 298 3714 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260222 https://www.americaspg.com/journal/21/article/3714 https://www.americaspg.com/storage/61742079253.pdf