This book for the first time introduces neutrosophic groups, neutrosophic semigroups,
neutrosophic loops and neutrosophic groupoids and their neutrosophic N-structures. The
special feature of this book is that it tries to analyze when the general neutrosophic algebraic
structures like loops, semigroups and groupoids satisfy some of the classical theorems for
finite groups viz. Lagrange, Sylow, and Cauchy. This is mainly carried out to know more
about these neutrosophic algebraic structures and their neutrosophic N-algebraic structures.

In this book, for the first time we introduce the notion of neutrosophic algebraic structures for
groups, loops, semigroups and groupoids; and also their neutrosophic N-algebraic
structures. One is fully aware of the fact that many classical theorems like Lagrange, Sylow
and Cauchy have been studied only in the context of finite groups. Here we try to shift the
paradigm by studying and introducing these theorems to neutrosophic semigroups,
neutrosophic groupoids, and neutrosophic loops. This book has seven chapters. Chapter …