Simple-intersection graphs of rings

Simple-intersection graphs of rings

Let R be a ring with unity. In this paper, we introduce a new graph associated with R called the simple-intersection graph of R, denoted by GS(R). The vertices of GS(R) are the nonzero ideals of R, and two vertices are adjacent if and only if their intersection is a nonzero simple ideal. We study th...

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Bibliographic Details
Main Authors: Fida Moh'd, Mamoon Ahmed
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
simple-intersection graph
rings
ideals
clique
girth
dominating number
cycles
diameter
connected graph
complete graph
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023051?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023051?viewType=HTML

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