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The Graph of Annihilating Ideals | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 3, Volume 12, Issue 1, 2018, Pages 41-46 PDF (307.23 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2018.163569 | ||
| Authors | ||
| Nazar H. Shuker; Fryad H. Abdulqadir | ||
| College of Computer Science and Mathematics University of Mosul, Mosul, Iraq | ||
| 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 Γ(R). | ||
| Keywords | ||
| Annihilating ideal graph; zero divisor graph; reduced rings; finite local rings; rings integer modulo n | ||
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