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 - http://www.journal-fea.com/article_126270.html
L1 - http://www.journal-fea.com/article_126270_203fe7b5c348152b419438a9298c6da6.pdf
ER -