%0 Journal Article
%T A study of maximal and minimal ideals of n-refined neutrosophic rings
%J Journal of Fuzzy Extension and Applications
%I Ayandegan Institute of Higher Education, Iran
%Z 2783-1442
%A Abobala, Mohammad
%D 2021
%\ 03/01/2021
%V 2
%N 1
%P 16-22
%! A study of maximal and minimal ideals of n-refined neutrosophic rings
%K n-refined neutrosophic ring
%K n-refined AH-ideal
%K maximal ideal
%R 10.22105/jfea.2021.270647.1072
%X 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).
%U http://www.journal-fea.com/article_126270_203fe7b5c348152b419438a9298c6da6.pdf