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A graph which recognizes idempotents of a commutative ring
Published 23 Feb 2016 in math.CO | (1602.07243v1)
Abstract: 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 $R$.
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