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
Author: Mohammad Abobala
Publisher: Infinite Study
Total Pages: 8
Release:
Genre: Mathematics
ISBN:


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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.


On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
Language: en
Pages: 8
Authors: Mohammad Abobala
Categories: Mathematics
Type: BOOK - Published: - Publisher: Infinite Study

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This paper studies the problem of determining invertible elements (units) in any n-refined neutrosophic ring. It presents the necessary and sufficient condition
n-Refined Neutrosophic Groups I
Language: en
Pages: 8
Authors: Mohammad Abobala
Categories: Mathematics
Type: BOOK - Published: - Publisher: Infinite Study

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The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n
n-Refined Neutrosophic Modules
Language: en
Pages: 11
Authors: Hasan Sankari
Categories: Mathematics
Type: BOOK - Published: 2020-10-01 - Publisher: Infinite Study

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This paper introduces the concept of n-refined neutrosophic module as a new generalization of neutrosophic modules and refined neutrosophic modules respectively
n-Refined Neutrosophic Vector Spaces
Language: en
Pages: 8
Authors: Florentin Smarandache
Categories: Mathematics
Type: BOOK - Published: - Publisher: Infinite Study

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This paper introduces the concept of n-refined neutrosophic vector spaces as a generalization of neutrosophic vector spaces, and it studies elementary propertie
On Some Neutrosophic Algebraic Equations
Language: en
Pages: 8
Authors: Mohammad Abobala
Categories: Mathematics
Type: BOOK - Published: - Publisher: Infinite Study

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This paper is devoted to studying linear equations, and quadratic equations over a neutrosophic field 𝐹(𝐼) and refined neutrosophic field 𝐹(𝐼1,𝐼2