Some properties of comaximal ideal graph of a commutative ring
نویسندگان
1 Islamic Azad University, Central Tehran Branch
2 Islamic Azad University, Central Tehran Branch
doi
10.22108/toc.2017.20429چکیده
Let $R$ be a commutative ring with identity. We use $\varphi (R)$ to denote the comaximal ideal graph. The vertices of $\varphi (R)$ are proper ideals of R which are not contained in the Jacobson radical of $R$, and two vertices $I$ and $J$ are adjacent if and only if $I + J = R$. In this paper we show some properties of this graph together with planarity of line graph associated to $\varphi (R)$.
