aspg-21-1450-1791472390 20261008151310 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 20 1 Kaviyarasu M. Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu 600062.India Rajeshwari M. Department of Mathematics, School of Engineering, Presidency University, Bangalore, India In this paper, “we first define the belief of direct product from neutrosophic sets in INK algebras, neutrosophic set, neutrosophic h-ideals, neutrosophic INK-subalgebra and direct product of neutrosophic h-ideals in INK algebras. Let's prove some theorems that show that there is some connection between these principles. Finally, we define the INK subalgebra of the INK algebra and then offer the ideal theorem approximately the connection between its pix and the direct product from the neutrosophic h-ideals. 2023 119 127 1450 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.200110 https://www.americaspg.com/journal/21/article/1450 https://www.americaspg.com/storage/61673420379.pdf