Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233209
Category : Mathematics
Languages : en
Pages : 154
Book Description
Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
Neutrosophic Rings
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233209
Category : Mathematics
Languages : en
Pages : 154
Book Description
Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
Publisher: Infinite Study
ISBN: 1931233209
Category : Mathematics
Languages : en
Pages : 154
Book Description
Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
A Study on Neutrosophic Zero Rings
Author: T.Chalapathi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
Abstract algebra is largely concerned with the study of abstract sets endowed with one, or, more binary operations along with few axioms. In this paper, we consider one of the basic algebraic structures known as a ring, called a classical ring.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
Abstract algebra is largely concerned with the study of abstract sets endowed with one, or, more binary operations along with few axioms. In this paper, we consider one of the basic algebraic structures known as a ring, called a classical ring.
The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings
Author: Yingcang Ma
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15
Book Description
This paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15
Book Description
This paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.
Refined Neutrosophic Rings I
Author: E.O. Adeleke
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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.
On clean neutrosophic rings
Author: Suryoto
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
Book Description
A commutative ring is said to be clean if every element of the ring can be written as a sum of a unit and an idempotent. In this paper, we generalize this argument to structure of neutrosophic. We present the structure of clean neutrosophic ring. Some elementary properties of clean neutrosophic ring are also presented.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
Book Description
A commutative ring is said to be clean if every element of the ring can be written as a sum of a unit and an idempotent. In this paper, we generalize this argument to structure of neutrosophic. We present the structure of clean neutrosophic ring. Some elementary properties of clean neutrosophic ring are also presented.
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.
n- Refined Neutrosophic Rings
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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 : 8
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.
Refined Neutrosophic Rings II
Author: E.O. Adeleke
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
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.
Soft Neutrosophic Ring and Soft Neutrosophic Field
Author: Mumtaz Ali
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
Book Description
In this paper we extend the theory of neutrosophic rings and neutrosophic fields to soft sets and construct soft neutrosophic rings and soft neutrosophic fields.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
Book Description
In this paper we extend the theory of neutrosophic rings and neutrosophic fields to soft sets and construct soft neutrosophic rings and soft neutrosophic fields.
On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings
Author: Mohammad Abobala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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.