On Perfectness of Intersection Graph of Ideals of $\mathbb{Z}_n$

TL;DR

This paper characterizes the positive integers n for which the intersection graph of ideals of the ring Z_n is perfect, providing a complete classification based on ring-theoretic properties.

Contribution

It offers a complete characterization of when the intersection graph of ideals of Z_n is perfect, filling a gap in the understanding of graph properties of ring ideals.

Findings

Identifies all n for which the intersection graph is perfect

Provides necessary and sufficient conditions based on the structure of Z_n

Enhances understanding of graph-theoretic properties of ring ideals

Abstract

In this paper, we characterize the positive integers $n$ for which intersection graph of ideals of $\mathbb{Z}_n$ is perfect.