On the structure and applications of neutrosophic prime ideals

This study explores key characteristics associated with neutrosophic prime ideals. In particular, it is shown that the image corresponding to these ideals contains exactly two different elements. The work also extends the concept of classical prime ideals by incorporating neutrosophic logic. A new approach to identifying prime ideals using neutrosophic points is introduced. Furthermore, the paper compares various definitions of neutrosophic prime ideals and examines the connections between them. Finally, an application is used to illustrate the role of neutrosophic prime ideals in decision-making processes.