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The Element ideal graph Γ_(p^α q^β ) (Z)

Fryad Husein Abdul-Qadr1

 

1 Department of Mathematics, College of Education, Salahaddin University – Hawler, Iraq

E-mail:fryadmath@yahoo.com

Original: 18.11.2015Revised: 14.02.2016Accepted: 25.05.2016Published online: 20.09.2016



DOI Link: 

ABSTRACT

Let R be a commutative ring with identity and let x be an element of R. The Element Ideal Graph  is a graph whose vertex set is the set of non-trivial ideals of R and two distinct ideal vertices I and J are adjacent if and only if . In this paper we investigate the element ideal graph  to explore some of its properties with providing some examples, where Z is the set of integers,  and p and q are distinct prime numbers.

KEYWORDS

Element Ideal Graph, Clique , Diameter.  

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