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 $R$.
Dorbidi, H., & Alikhani, S. (2020). A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING. Journal of Algebraic Systems, 7(2), 143-154. doi: 10.22044/jas.2019.7405.1365
MLA
H. Dorbidi; S. Alikhani. "A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING". Journal of Algebraic Systems, 7, 2, 2020, 143-154. doi: 10.22044/jas.2019.7405.1365
HARVARD
Dorbidi, H., Alikhani, S. (2020). 'A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING', Journal of Algebraic Systems, 7(2), pp. 143-154. doi: 10.22044/jas.2019.7405.1365
VANCOUVER
Dorbidi, H., Alikhani, S. A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING. Journal of Algebraic Systems, 2020; 7(2): 143-154. doi: 10.22044/jas.2019.7405.1365
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