Some Special Types of Neutrosophic Domains

Shawqi Al-lkami^1,*, Adel Al-Odhari^2,3

¹Department of Mathematics; Faculty of Education and Sciences; Saba Region University; Yemen.

²Faculty of Education, Humanities and Applied Sciences (Khawlan), Yemen

³Department of Foundations of Sciences, Faculty of Engineering, Sana'a University. Box:13509, Sana'a, Yemen;

Emails: mnkl9191@usr.ac; a.aleidhri@su.edu.ye

Abstract

The neutrosophic ring cannot be an integral domain, but the pseudo-neutrosophic ring could be an integral domain. The main objective of this paper is to present and study some special types of neutrosophic domains, which has not been studied before, such as integral domains.

Keywords: Neutrosophic Ring; Pseudo Neutrosophic Ring; Neutrosophic Polynomial Ring; Neutrosophic Euclidean Ring; Neutrosophic Unique Factorization Domains; Neutrosophic Jacobson Radical; Neutrosophic Noetherian Ring; Neutrosophic Artinian Ring