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AL-Rafidain Journal of Computer Sciences and Mathematics

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The Graph of Annihilating Ideals

    Nazar H. Shuker Fryad H. Abdulqadir

AL-Rafidain Journal of Computer Sciences and Mathematics, 2018, Volume 12, Issue 1, Pages 41-46
10.33899/csmj.2018.163569

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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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(2018). The Graph of Annihilating Ideals. AL-Rafidain Journal of Computer Sciences and Mathematics, 12(1), 41-46. doi: 10.33899/csmj.2018.163569
Nazar H. Shuker; Fryad H. Abdulqadir. "The Graph of Annihilating Ideals". AL-Rafidain Journal of Computer Sciences and Mathematics, 12, 1, 2018, 41-46. doi: 10.33899/csmj.2018.163569
(2018). 'The Graph of Annihilating Ideals', AL-Rafidain Journal of Computer Sciences and Mathematics, 12(1), pp. 41-46. doi: 10.33899/csmj.2018.163569
The Graph of Annihilating Ideals. AL-Rafidain Journal of Computer Sciences and Mathematics, 2018; 12(1): 41-46. doi: 10.33899/csmj.2018.163569
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