On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification

Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/3281 2021 2021 On The 3-Cyclic Refined Neutrosophic Real Roots of Unity and Their Algebraic Classification Cape Peninsula University of Technology, Faculty of Applied Science, South Africa Agnes Agnes The objective of this paper is to find all formulas that describe the 3-cyclic refined neutrosophic real solutions of the equation 𝑋𝑛=1 which are called 3-cyclic refined real roots of unity. Also, we classify the algebraic group represented by these solutions as a direct product of some familiar finite abelian groups. On the other hand, we illustrate many examples to clarify the validity of our work. 2024 2024 36 42 10.54216/JNFS.090105 https://www.americaspg.com/articleinfo/24/show/3281