SOME PROPERTIES OF COMAXIMAL IDEAL GRAPH OF A COMMUTATIVE RING

Let R be a commutative ring with identity. We use φ(R) to denote the comaximal ideal graph. The vertices of φ(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 φ(R).