TY - JOUR
AU - Abdulqadr, F. H.
PY - 2020/08/28
Y2 - 2021/12/01
TI - Maximal Ideal Graph of Commutative Rings
JF - Iraqi Journal of Science
JA - eijs
VL - 61
IS - 8
SE - Mathematics
DO - 10.24996/ijs.2020.61.8.22
UR - https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/1786
SP - 2070-2076
AB - In this paper, we introduce and study the notion of the maximal ideal graph of a commutative ring with identity. Let R be a commutative ring with identity. The maximal ideal graph of R, denoted by MG(R), is the undirected graph with vertex set, the set of non-trivial ideals of R, where two vertices I1 and I2 are adjacent if I1 I2 and I1+I2 is a maximal ideal of R. We explore some of the properties and characterizations of the graph.
ER -