International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3143 2020 2020 On the Two-Fold Maximal Units in Some Two-Fold Finite Neutrosophic Rings Modulo Integers for 2≤n≤5 Department of Mathematics, faculty of science, University of Jordan, Amman 11942, Jordan Isra Isra Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan Ibraheem Abu Falahah Applied Science Department, Aqaba University College, Balqa Applied University, Jordan Talat Alkhouli Applied Science Department, Aqaba University College, Balqa Applied University, Jordan Ahmed Soiman Rashed Alhawiti Department of mathematics, Yarmouk University, Irbid 21163, Jordan Jenan Shtayat Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan; Jadara Research center, Jadara University, Irbid 21110, Jordan Abdallah Al Al-Husban In this paper, we have defined the concept of two-fold maximal units in finite two-fold neutrosophic rings modulo integers, where a sufficient and necessary condition for such class of generalized units will be provided. We characterize all maximal units in the following two-fold neutrosophic rings(Z_n (I))_(f_I ) for nE{2,3,4,5}. 2025 2025 155 164 10.54216/IJNS.250213 https://www.americaspg.com/articleinfo/21/show/3143