TY - BOOK ED - 3G E-Learning. TI - 3GE collection on Mathematics: algebraic structures SN - 9781984647351 (hardback) AV - QA 155 T47 2021 PY - 2021/// CY - New York, New York PB - 3G E-Learning LLC KW - Algebra KW - Study and teaching (Higher Education) N1 - 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 N2 - 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 ER -