Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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.
n-Refined Neutrosophic Vector Spaces
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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.
n-Refined Neutrosophic Modules
Author: Hasan Sankari
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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.
Neutrosophic Linear Space Theory
Author: Rozina Ali
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16
Book Description
In this paper, we give a review about neutrosophic linear spaces and their properties.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16
Book Description
In this paper, we give a review about neutrosophic linear spaces and their properties.
Solving Three Conjectures about Neutrosophic Quadruple Vector Spaces
Author: Hasan Sankari
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
Book Description
The aim of this paper is to answer Smarandache conjectures about neutrosophic quadruple vector spaces. This paper depends on the concept of weak n-refined neutrosophic vector space to prove that an NQ vector space V defined over the field F is isomorphic to F x F x F x F.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
Book Description
The aim of this paper is to answer Smarandache conjectures about neutrosophic quadruple vector spaces. This paper depends on the concept of weak n-refined neutrosophic vector space to prove that an NQ vector space V defined over the field F is isomorphic to F x F x F x F.
n - Refined Neutrosophic Rings
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9
Book Description
The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9
Book Description
The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.
An Introduction to The Symbolic 3-Plithogenic Vector Spaces
Author: Rozina Ali
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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.
A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
Book Description
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 22
Book Description
On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
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.
Neutrosophic Sets and Systems, Vol. 43, 2021
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 311
Book Description
“Neutrosophic Sets and Systems” 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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 311
Book Description
“Neutrosophic Sets and Systems” 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.
Neutrosophic Sets and Systems, Vol. 38, 2020
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 662
Book Description
“Neutrosophic Sets and Systems” 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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 662
Book Description
“Neutrosophic Sets and Systems” 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.