aspg-21-2208-1791472398 20261008151318 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 22 4 A. Priya Department of Mathematics, Government Arts College (affiliated to Bharathidasan University), Thanthonimalai, Karur 639005, Tamilnadu, India P. Maragatha Meenakshi Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India Aiyared Iampan Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand N. Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India The notion of neutrosophic nil radicals of neutrosophic ideals in rings is introduced, and related properties are investigated. In addition, we study some relations between the nil radical of the neutrosophic polynomial ideal of the polynomial ring R[x] induced by a neutrosophic ideal of a ring R and the nil radical of a neutrosophic ideal of R. Finally, we find the result of neutrosophic nil radicals of neutrosophic ideals from the epimorphism of rings. 2023 82 92 2208 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.220407 https://www.americaspg.com/journal/21/article/2208 https://www.americaspg.com/storage/21699034370.pdf