TY - JOUR
ID - 1585
TI - A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Dorbidi, H.
AU - Alikhani, S.
AD - Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
78671-61167, Jiroft, Iran.
AD - Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
Y1 - 2020
PY - 2020
VL - 7
IS - 2
SP - 143
EP - 154
KW - Graph
KW - diameter
KW - Ring
KW - Idempotent
DO - 10.22044/jas.2019.7405.1365
N2 - In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=I\cap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
UR - https://jas.shahroodut.ac.ir/article_1585.html
L1 - https://jas.shahroodut.ac.ir/article_1585_0115d6f468b7fb69d3639428ff331638.pdf
ER -