N Refined Neutrosophic Groups I
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Author |
: Mohammad Abobala |
Publisher |
: Infinite Study |
Total Pages |
: 8 |
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Rating |
: 4/5 ( Downloads) |
Synopsis n-Refined Neutrosophic Groups I by : Mohammad Abobala
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 |
Total Pages |
: 10 |
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ISBN-10 |
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ISBN-13 |
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Rating |
: 4/5 ( Downloads) |
Synopsis n-Refined Neutrosophic Groups II by : Mohammad Abobala
The objective of this paper is to study some of AH-substructures in n-refined neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, and endomorphisms especially in a non abelian n-refined neutrosophic group.
Author |
: Hasan Sankari |
Publisher |
: Infinite Study |
Total Pages |
: 11 |
Release |
: 2020-10-01 |
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Rating |
: 4/5 ( Downloads) |
Synopsis n-Refined Neutrosophic Modules by : Hasan Sankari
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 |
: Florentin Smarandache |
Publisher |
: Infinite Study |
Total Pages |
: 8 |
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Rating |
: 4/5 ( Downloads) |
Synopsis n- Refined Neutrosophic Rings by : Florentin Smarandache
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.
Author |
: Mohammad Abobala |
Publisher |
: Infinite Study |
Total Pages |
: 10 |
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Rating |
: 4/5 ( Downloads) |
Synopsis A Contribution to Neutrosophic Groups by : Mohammad Abobala
The objective of this paper is to define some new substructures (AH-substructures) in a neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, AH-quotients and AH-direct products.
Author |
: Rozina Ali |
Publisher |
: Infinite Study |
Total Pages |
: 16 |
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: 4/5 ( Downloads) |
Synopsis Neutrosophic Linear Space Theory by : Rozina Ali
In this paper, we give a review about neutrosophic linear spaces and their properties.
Author |
: Mohammad Abobala |
Publisher |
: Infinite Study |
Total Pages |
: 22 |
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: 4/5 ( Downloads) |
Synopsis A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems by : Mohammad Abobala
Author |
: M. Abdallah Salih |
Publisher |
: Infinite Study |
Total Pages |
: 7 |
Release |
: 2023-01-01 |
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Rating |
: 4/5 ( Downloads) |
Synopsis n-Refined Indeterminacy of Some Modules by : M. Abdallah Salih
This article presents the notion of n-refined neutrosophic modules such as cyclic, simple, and finitely generated modules. n-refined neutrosophic is a generalization of neutrosophic properties. This paper presents new relations among n-refined neutrosophic modules. Finally, several examples and properties have been studied about the relations between these modules.
Author |
: M. Al-Tahan |
Publisher |
: Infinite Study |
Total Pages |
: 17 |
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: 4/5 ( Downloads) |
Synopsis Refined neutrosophic quadruple (po-)hypergroups and their fundamental group by : M. Al-Tahan
After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done. On the other hand, the theory of Neutrosophy, the study of neutralities, was developed in 1995 by F. Smarandache as an extension of dialectics. This paper aims at finding a connection between refined neutrosophy of sets and hypergroups. In this regard, we define refined neutrosophic quadruple hypergroups, study their properties, and find their fundamental refined neutrosophic quadruple
Author |
: Mohammad Abobala |
Publisher |
: Infinite Study |
Total Pages |
: 8 |
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Rating |
: 4/5 ( Downloads) |
Synopsis On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations by : Mohammad Abobala
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.