On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations PDF full book. Access full book title On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations by Mohammad Abobala. Download full books in PDF and EPUB format.
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
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.
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
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.
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.
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 ๐น(๐ผ) and refined neutrosophic field ๐น(๐ผ1,๐ผ2). This work introduces a full description of the solution's algorithm in ๐น(๐ผ) and ๐น(๐ผ1,๐ผ2), and discusses the solution's algorithm for a linear system of neutrosophic equations over ๐น(๐ผ) and ๐น(๐ผ1,๐ผ2) for the first time.
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.
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.
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.
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.
Author: Rozina Ali
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16
Get Book Here
Book Description
This work is dedicated to give the interested reader a good review and background in recent developments in the field of neutrosophic algebraic module theory.
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
Get Book Here
Book Description
Idempotent elements in a ring ๐
are the elements with the condition ๐๐=๐. 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 ๐
(๐ผ), and a refined neutrosophic ring ๐
(๐ผ1,๐ผ2) are defined. Also, the invertibility of these elements is discussed.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 311
Get Book Here
Book Description
โNeutrosophic Sets and Systemsโ has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.
