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

Mathematics
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Book Synopsis On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations by : Mohammad Abobala

Download or read book On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations written by Mohammad Abobala. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: 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.

n-Refined Neutrosophic Groups I

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Book Synopsis n-Refined Neutrosophic Groups I by : Mohammad Abobala

Download or read book n-Refined Neutrosophic Groups I written by Mohammad Abobala. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: 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-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.

n-Refined Neutrosophic Modules

2020-10-01 Mathematics
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Release : 2020-10-01
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Book Synopsis n-Refined Neutrosophic Modules by : Hasan Sankari

Download or read book n-Refined Neutrosophic Modules written by Hasan Sankari. This book was released on 2020-10-01. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces the concept of n-refined neutrosophic module as a new generalization of neutrosophic modules and refined neutrosophic modules respectively and as a new algebraic application of n-refined neutrosophic set. It studies elementary properties of these modules. Also, This work discusses some corresponding concepts such as weak/strong n-refined neutrosophic modules, n-refined neutrosophic homomorphisms, and kernels.

n-Refined Neutrosophic Vector Spaces

Mathematics
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Book Synopsis n-Refined Neutrosophic Vector Spaces by : Florentin Smarandache

Download or read book n-Refined Neutrosophic Vector Spaces written by Florentin Smarandache. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces the concept of n-refined neutrosophic vector spaces as a generalization of neutrosophic vector spaces, and it studies elementary properties of them. Also, this work discusses some corresponding concepts such as weak/strong n-refined neutrosophic vector spaces, and n-refined neutrosophic homomorphisms.

On Some Neutrosophic Algebraic Equations

Mathematics
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Book Synopsis On Some Neutrosophic Algebraic Equations by : Mohammad Abobala

Download or read book On Some Neutrosophic Algebraic Equations written by Mohammad Abobala. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to studying linear equations, and quadratic equations over a neutrosophic field 𝐹(𝐼) and refined neutrosophic field 𝐹(𝐼1,𝐼2). This work introduces a full description of the solution's algorithm in 𝐹(𝐼) and 𝐹(𝐼1,𝐼2), and discusses the solution's algorithm for a linear system of neutrosophic equations over 𝐹(𝐼) and 𝐹(𝐼1,𝐼2) for the first time.

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