On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations

Author:

Abobala Mohammad1ORCID

Affiliation:

1. Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, Syria

Abstract

This paper studies the problem of determining invertible elements (units) in any n-refined neutrosophic ring. It presents the necessary and sufficient condition for any n-refined neutrosophic element to be invertible, idempotent, and nilpotent. Also, this work introduces some of the elementary algebraic properties of n-refined neutrosophic matrices with a direct application in solving n-refined neutrosophic algebraic equations.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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2. Application of Fuzzy Neutrosophic Cone in Decision Making;Journal of Fuzzy Logic and Modeling in Engineering;2022-09

3. A Study of Nil Ideals and Kothe’s Conjecture in Neutrosophic Rings;International Journal of Mathematics and Mathematical Sciences;2021-06-07

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