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 PDF Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Get Book Here

Book 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.

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 PDF Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Get Book Here

Book 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.

n-Refined Neutrosophic Groups I

n-Refined Neutrosophic Groups I PDF Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Get Book Here

Book Description
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

n-Refined Neutrosophic Modules PDF Author: Hasan Sankari
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11

Get Book Here

Book Description
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

n-Refined Neutrosophic Vector Spaces PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Get Book Here

Book Description
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

On Some Neutrosophic Algebraic Equations PDF Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Get Book Here

Book Description
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.

Neutrosophic Linear Space Theory

Neutrosophic Linear Space Theory PDF Author: Rozina Ali
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16

Get Book Here

Book Description
In this paper, we give a review about neutrosophic linear spaces and their properties.

A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry

A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry PDF Author: Ahmed A. Salama
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11

Get Book Here

Book Description
In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.

An Introduction to The Symbolic 3-Plithogenic Vector Spaces

An Introduction to The Symbolic 3-Plithogenic Vector Spaces PDF Author: Rozina Ali
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5

Get Book Here

Book Description
The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic vector spaces based on symbolic 3-plithogenic sets and classical vector spaces.Also, many related substructures will be defined and handled such as AH-functions, AH-spaces, and symbolic 3-plithogenic basis.

On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings

On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings PDF Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8

Get Book Here

Book Description
Idempotent elements in a ring 𝑅 are the elements with the condition 𝒂𝟐=𝒂. This paper introduces the criterion of any element in a refined neutrosophic ring to be idempotent. Also, the concept of symmetric and supersymmetric elements in a neutrosophic ring 𝑅(𝐼), and a refined neutrosophic ring 𝑅(𝐼1,𝐼2) are defined. Also, the invertibility of these elements is discussed.

A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems

A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems PDF Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22

Get Book Here

Book Description