Turkish Journal of Mathematics
Abstract
Let $R$ be a commutative ring with identity. We use $\Gamma ( R )$ to denote the comaximal ideal graph. The vertices of $\Gamma ( R )$ are proper ideals of R that 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 the planarity and perfection of $\Gamma ( R )$.
DOI
10.3906/mat-1505-23
Keywords
Chromatic number, clique number, planar graph, perfect graph
First Page
905
Last Page
913
Recommended Citation
AZADI, M, JAFARI, Z, & ESLAHCHI, C (2016). On the comaximal ideal graph of a commutative ring. Turkish Journal of Mathematics 40 (4): 905-913. https://doi.org/10.3906/mat-1505-23
