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3GE collection on Mathematics : algebraic structures / 3G E-Learning.

By: 3G E-Learning Material type: Text

TextPublisher: New York, New York : 3G E-Learning LLC, c2021Description: x, 267 pages : illustrations ; 26 cmISBN: 9781984647351 (hardback)Subject(s): Algebra | Algebra -- Study and teaching (Higher Education)LOC classification: QA 155 | T47 2021

Contents:

Chapter 1 : Number theory Chapter 2 : Modular Arithmetic Chapter 3 : Polynomials Chapter 4 : Group Theory Chapter 5 : Normal Subgroups or Quotient Groups Chapter 6 : Galois Theory Chapter 7 : Field Theory

Summary: This book aims to explore the algebra structure of refined neutrosophic numbers. Firstly, the algebra structure of neutrosophic quadruple numbers on a general field is studied. Secondly, the addition operator and multiplication operator on refined neutrosophic numbers are proposed and the algebra structure is discussed. It also reveal that the set of neutrosophic refined numbers with an additive operation is an Abelian group and the set of neutrosophic refined numbers with a multiplication operation is neutrosophic extended triplet group. Moreover, algorithms for solving the neutral element and opposite elements of eachrefined neutrosophic number are given. This book contains seven (7) chapers.

List(s) this item appears in: Newly Acquired Books (Purchased) April 04, 2022

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Item type	Current location	Collection	Shelving location	Call number	Copy number	Status	Date due	Barcode
Book	Cavite State University - CCAT Campus	Book	GCS	CIR QA 155 T47 2021 (Browse shelf)	1 copy	Available		R0012770

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Includes bibliographical references and index.

Chapter 1 : Number theory
Chapter 2 : Modular Arithmetic
Chapter 3 : Polynomials
Chapter 4 : Group Theory
Chapter 5 : Normal Subgroups or Quotient Groups
Chapter 6 : Galois Theory
Chapter 7 : Field Theory

This book aims to explore the algebra structure of refined neutrosophic numbers. Firstly, the algebra structure of neutrosophic quadruple numbers on a general field is studied. Secondly, the addition operator and multiplication operator on refined neutrosophic numbers are proposed and the algebra structure is discussed. It also reveal that the set of neutrosophic refined numbers with an additive operation is an Abelian group and the set of neutrosophic refined numbers with a multiplication operation is neutrosophic extended triplet group. Moreover, algorithms for solving the neutral element and opposite elements of eachrefined neutrosophic number are given. This book contains seven (7) chapers.

In English text.

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