TY - JOUR ID - 126270 TI - A study of maximal and minimal ideals of n-refined neutrosophic rings JO - Journal of Fuzzy Extension and Applications JA - JFEA LA - en SN - 2783-1442 AU - Abobala, Mohammad AD - Department of Mathematics, Faculty of Science, Tishreen University, Lattakia, Syria. Y1 - 2021 PY - 2021 VL - 2 IS - 1 SP - 16 EP - 22 KW - n-refined neutrosophic ring KW - n-refined AH-ideal KW - maximal ideal DO - 10.22105/jfea.2021.270647.1072 N2 - If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p i which make P be an ideal of Rn(I). Also, this work introduces a full description of the algebraic structure and form for AH-maximal and minimal ideals in Rn(I). UR - https://www.journal-fea.com/article_126270.html L1 - https://www.journal-fea.com/article_126270_203fe7b5c348152b419438a9298c6da6.pdf ER -