International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3185 2020 2020 Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq Reyadh Reyadh Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq L. A. A. Jabar Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq Ghassan A. Qahtan Department of Mathematics, College of Education, Al-Zahraa University for Women, Iraq Ali Younis Shakir Our study focusses on the concept of the kernel with in neutrosophic crisp sets (NCS_s) and its relationship with the separation axioms of NCTS, coinciding, and shedding light on the properties that characterize them. 2025 2025 263 267 10.54216/IJNS.250222 https://www.americaspg.com/articleinfo/21/show/3185