International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3428 2020 2020 Department of Mathematics, School of Science, GITAM Deemed to be University, Hyderabad campus, India admin admin Department of Humanities & Sciences, Malla Reddy College of Engineering & Technology, Hyderabad, India Bhurgula Harika Department of Mathematics, Kakatiya University, Warangal, India T. Nagaiah Department of Mathematics, National Institute of Technology, Raipur, India L. Bhaskar Department of Mathematics, KU College of Engineering and Technology, Kakatiya University, Warangal, India K. Vijay Kumar This article introduces the idea of neutrosophic ideal of a near algebra and provides a definition and example. A few fundamental features related to this approach are also explored. We also present the topics neutrosophic near algebra homomorphism, kernel of a neutrosophic near algebra and coset of a neutrosophic ideal of a near algebra. It is been briefed with the appropriate definitions and theorems on it. It is been proved that sum of the right neutrosophic ideal of a near algebra is also a right neutrosophic ideal of a near algebra over a neutrosophic field. 2025 2025 169 175 10.54216/IJNS.250414 https://www.americaspg.com/articleinfo/21/show/3428