on the girth of the annihilating-ideal graph of a commutative ring
نویسندگان
چکیده
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 $gr(ag(r))neq 3$.
منابع مشابه
On the girth of the annihilating-ideal graph of a commutative ring
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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عنوان ژورنال:
journal of linear and topological algebra (jlta)ناشر: central tehran branch. iau
ISSN 2252-0201
دوره 04
شماره 03 2015
کلمات کلیدی
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