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Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9
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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.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9
Get Book
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.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
Get Book
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.
Author: E.O. Adeleke
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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Book Description
The study of refined neutrosophic rings is the objective of this paper. Substructures of refined neutrosophic rings and their elementary properties are presented. It is shown that every refined neutrosophic ring is a ring.
Author: Hasan Sankari
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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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: Hasan Sankari
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
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Book Description
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.
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
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Book Description
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: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
Idempotent elements in a ring π
are the elements with the condition ππ=π. 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 π
(πΌ), and a refined neutrosophic ring π
(πΌ1,πΌ2) are defined. Also, the invertibility of these elements is discussed.
Author: E.O. Adeleke
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
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Book Description
This paper is the continuation of the work started in the paper titled βRefined Neutrosophic Rings Iβ. In the present paper, we study refined neutrosophic ideals and refined neutrosophic homomorphisms along their elementary properties.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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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: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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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.
