Neutrosophic Set Approach to Study the Characteristic Behavior of Left Almost Rings

Abstract

In this paper, the concept of Neutrosophic LA-rings is introduced. Furthermore, we
investigate their algebraic structures. We discuss various types of ideals and establish a number of
results to better understand the characteristic behavior of Neutrosophic LA-rings. In addition, we
investigate the properties of the Neutrosophic M-system, Neutrosophic P-system, and
Neutrosophic I-system in order to characterize the Neutrosophic LA-ring.