The Graph of Annihilating Ideals

Section: Research Paper
Published
Jun 23, 2018
Pages
41-46

Abstract

Let R be a commutative ring with identity and AG(R) be the set of ideals with non-zero annihilators. The annihilating ideal graph AG(R) is a graph of vertex set AG (R)\{(0)} and two distinct ideal vertices I and J are adjacent if and only if . In this paper , we establish a new fundamental properties of AG(R) as well as its connection with (R).

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How to Cite

H. Shuker, N., & H. Abdulqadir, F. (2018). The Graph of Annihilating Ideals. AL-Rafidain Journal of Computer Sciences and Mathematics, 12(1), 41–46. https://doi.org/10.33899/csmj.2018.163569
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