n-Refined Neutrosophic Groups I

n-Refined Neutrosophic Groups I

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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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 Groups II

n-Refined Neutrosophic Groups II

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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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.


n - Refined Neutrosophic Rings

n - Refined Neutrosophic Rings

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

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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.


n-Refined Neutrosophic Modules

n-Refined Neutrosophic Modules

Author: Hasan Sankari

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 11

ISBN-13:

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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 Rings

n- Refined Neutrosophic Rings

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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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.


n-Refined Neutrosophic Vector Spaces

n-Refined Neutrosophic Vector Spaces

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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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.


AH-Homomorphisms in Neutrosophic Rings and Refined Neutrosophic Rings

AH-Homomorphisms in Neutrosophic Rings and Refined Neutrosophic Rings

Author: Hasan Sankari

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 13

ISBN-13:

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Algebraic relations between rings are determined by homomorphisms and isomorphisms. This paper introduces a new kind of algebraic functions between two neutrosophic rings to give more agility in the exploring of neutrosophic substructures properties, where it generalizes the concept of AHS-homomorphism in neutrosophic rings, and refined neutrosophic rings. Also, it determines the algebraic structure of neutrosophic AH-endomorphisms of the additive group of neutrosophic ring and refined neutrosophic ring.


A Contribution to Neutrosophic Groups

A Contribution to Neutrosophic Groups

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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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.