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

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

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 algeb...

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Main Author: Mohammad Abobala
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/5573072
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spelling doaj-2523ab286a224cdeabb74e77e156fd1c2021-03-22T00:03:46ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5573072On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear EquationsMohammad Abobala0Tishreen UniversityThis 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.http://dx.doi.org/10.1155/2021/5573072
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Abobala
spellingShingle Mohammad Abobala
On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
Mathematical Problems in Engineering
author_facet Mohammad Abobala
author_sort Mohammad Abobala
title On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
title_short On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
title_full On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
title_fullStr On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
title_full_unstemmed On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
title_sort on some algebraic properties of n-refined neutrosophic elements and n-refined neutrosophic linear equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description 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.
url http://dx.doi.org/10.1155/2021/5573072
work_keys_str_mv AT mohammadabobala onsomealgebraicpropertiesofnrefinedneutrosophicelementsandnrefinedneutrosophiclinearequations
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