N Refined Neutrosophic Groups I
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| Author | : Mohammad Abobala |
| Publisher | : Infinite Study |
| Total Pages | : 8 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 | : Hasan Sankari |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : 2020-10-01 |
| Genre | : Mathematics |
| ISBN | : |
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 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 | : Rozina Ali |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we give a review about neutrosophic linear spaces and their properties.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 8 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 | : Mohammad Abobala |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 | : Mohammad Abobala |
| Publisher | : Infinite Study |
| Total Pages | : 22 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
| Author | : M. Abdallah Salih |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
| Release | : 2023-01-01 |
| Genre | : Mathematics |
| ISBN | : |
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.
