The essential ideal graph of a commutative ring-Reference-Cited by-同舟云学术

The essential ideal graph of a commutative ring

Published:2018-08 Issue:04 Volume:11 Page:1850058
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Amjadi J.¹

Affiliation:

1. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran

Abstract

Let [Formula: see text] be a commutative ring with identity. The essential ideal graph of [Formula: see text], denoted by [Formula: see text], is a graph whose vertex set is the set of all nonzero proper ideals of [Formula: see text] and two vertices [Formula: see text] and [Formula: see text] are adjacent whenever [Formula: see text] is an essential ideal. In this paper, we initiate the study of the essential ideal graph of a commutative ring and we investigate its properties.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500584

Reference10 articles.

1. The Co-annihilating-ideal Graphs of Commutative Rings

2. A Note on Comaximal Graph of Non-commutative Rings

3. A new graph associated to a commutative ring

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