On the girth of the annihilating-ideal graph of a commutative ring
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Abstract:
The annihilating-ideal graph of a commutative ring $R$ is denoted by $AG(R)$, whose vertices are all nonzero ideals of $R$ with nonzero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ=0$. In this article, we completely characterize rings $R$ when $gr(AG(R))neq 3$.
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Journal title
volume 04 issue 03
pages 209- 216
publication date 2015-08-01
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