Geodesic
The Co-annihilating-ideal Graphs of Commutative Rings
Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 3-11

Voir la notice de l'article provenant de la source Cambridge University Press

Let $R$ be a commutative ring with identity. The co-annihilating-ideal graph of $R$ , denoted by ${{\mathcal{A}}_{R}}$ , is a graph whose vertex set is the set of all non-zero proper ideals of $R$ and two distinct vertices $I$ and $J$ are adjacent whenever $\text{Ann}\left( I \right)\,\cap \,\text{Ann}\left( J \right)\,=\,\left\{ 0 \right\}$ . In this paper we initiate the study of the co-annihilating ideal graph of a commutative ring and we investigate its properties.
DOI : 10.4153/CMB-2016-017-1
Mots-clés : 13A15, 16N40, commutative ring, co-annihilating-ideal graph 
Akbari, Saeeid; Alilou, Abbas; Amjadi, Jafar; Sheikholeslami, Seyed Mahmoud. The Co-annihilating-ideal Graphs of Commutative Rings. Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 3-11. doi: 10.4153/CMB-2016-017-1
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