International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3701 2020 2020 Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand Ronnason Ronnason Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand Ronnason Chinram In this paper, we apply neutrosophic N-structures in ternary semirings. We consider ternary neutrosophic N-subsemirings of ternary semirings. We investigate the conditions for neutrosophic N-structures to be neutrosophic ternary N-subsemirings. In addition, we show the relation between ternary subsemirins and neutrosophic ternary N-subsemirins. Finally, we showed that the homomorphic preimage of the neutrosophic ternary N-subsemirings is a neutrosophic ternary N-subsemirings and the onto homomorphic image of the neutrosophic ternary N-subsemiring is also a neutrosophic ternary N-subsemirings. 2025 2025 120 131 10.54216/IJNS.260209 https://www.americaspg.com/articleinfo/21/show/3701