Algebraic Properties of Finite Neutrosophic Fields

We explore a finite Neutrosophic field 𝑭𝒑 (𝑰) and its Neutrosophic multiplicative group 𝑭𝒑 (𝑰) × in this study. We first show |𝑭𝒑 (𝑰) ×| = (𝒑 − 𝟏) 𝟐 and then its algebraic properties are studied. The Neutrosophic Fermat's and Little Fermat's theorems over 𝑭𝒑 (𝑰) × are then proved. Finally,...

Full description

Bibliographic Details
Main Authors: T. Chalapathi, K. Kumaraswamy Naidu, D. Harish Babu
Format: Article
Language:English
Published: University of New Mexico 2022-04-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.unm.edu/NSS/AlgebraicFiniteNeutrosophic15.pdf