A New Neutrosophic Algebraic Structure II

Abstract

A new approach of “neutrosophic group” is defined in the new work, this new important concept will open new horizons and direction in front of researchers to study "new neutrosophic algebraic" such that neutrosophic ring, neutrosophic module, and neutrosophic vector space which are different from old one. In this paper, we define “new neutrosophic group” and  “ new neutrosophic subgroup “ in a new way that is different from the previous versions and we study some properties of this “ new neutrosophic group “. Also, we discuss the relationship of the “new neutrosophic group” with other “classical groups “and prove some results in the context of the new neutrosophic group. Finally, we show a property that holds in the new neutrosophic group which does not hold in the “ neutrosophic group “, the important one is that a “ neutrosophic group “ is not a “ classical group”, but a “new neutrosophic group “ is “ classical group”. Moreover, we studied the “neutrosophic symbolic Turiyam group “and “new neutrosophic symbolic Turiyam group” and studied its basic properties.