Research Expansion Alliance (REA) on behalf of Ayandegan Institute of Higher EducationJournal of Fuzzy Extension and Applications2783-14422120210301A study of maximal and minimal ideals of n-refined neutrosophic rings162212627010.22105/jfea.2021.270647.1072ENMohammad AbobalaDepartment of Mathematics, Faculty of Science, Tishreen University, Lattakia, Syria.0000-0002-1372-1769Journal Article20201101If R is a ring, then R<sub>n</sub>(I) is called a refined neutrosophic ring. Every AH-subset of R<sub>n</sub>(I) has the form P = ∑<sup>n</sup><sub>i=0 </sub>p <sub>i</sub> I<sub>i</sub>= {a<sub>0</sub>+a<sub>1</sub>I+⋯+a<sub>n</sub>I<sub>n</sub>: a<sub>i</sub>∈p <sub>i</sub>}, where p <sub>i</sub> are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p <sub>i</sub> which make P be an ideal of R<sub>n</sub>(I). Also, this work introduces a full description of the algebraic structure and form for AH-maximal and minimal ideals in R<sub>n</sub>(I).https://www.journal-fea.com/article_126270_203fe7b5c348152b419438a9298c6da6.pdf