3GE collection on Mathematics : algebraic structures /
3G E-Learning.
- New York, New York : 3G E-Learning LLC, c2021.
- x, 267 pages : illustrations ; 26 cm
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.
9781984647351 (hardback)
Algebra.
Algebra--Study and teaching (Higher Education).
QA 155 / T47 2021
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.
9781984647351 (hardback)
Algebra.
Algebra--Study and teaching (Higher Education).
QA 155 / T47 2021