International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3694 2020 2020 Department of Mathematics, College of Education, University of Sumer, Iraq Shuker Shuker General Directorate of Curricula. moe. Iraq Hussein S ALallak Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq Jaafer Hmood Eidi Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq Shuker Khalil This work analyzes neutrosophic fuzzification in algebra, applies novel classes of neutrosophic fuzzy () to algebra, and explores the ideas of ideal (), subalgebra (), δ-homomorphism, and ideal (), exploring some of their descriptions. We shall demonstrate a variety of applications, including the notations  and  on    is  of }. We will also investigate their equivalence classes, evaluate our findings in light of the unique ideas offered in this work, and investigate related characteristics. 2025 2025 11 19 10.54216/IJNS.260202 https://www.americaspg.com/articleinfo/21/show/3694