Algebraic Properties of Finite Neutrosophic Fields

We explore a finite Neutrosophic field () and its Neutrosophic multiplicative group () × in this study. We first show | () ×| = ( − ) and then its algebraic properties are studied. The Neutrosophic Fermat's and Little Fermat's theorems over () × are then proved. Finally, this paper investigates some applications of Neutrosophic Fermat's theorem over () × with various illustrations