A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
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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 $IJ=Icap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
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Journal title
volume 7 issue 2
pages 143- 154
publication date 2020-01-01
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