# Exact annihilating-ideal graph of commutative rings

Document Type: Research Paper

Author

Sauarshtra University

Abstract

The rings considered in this article are commutative rings with identity $1\neq 0$. The aim of this article is to define and study the exact annihilating-ideal graph of commutative rings. We discuss the interplay between the ring-theoretic properties of a ring and graph-theoretic properties of exact annihilating-ideal graph of the ring.

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