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• W2035014728 abstract "For a commutative ring R with identity, the annihilating-ideal graph of R, denoted 𝔸𝔾(R), is the graph whose vertices are the nonzero annihilating ideals of R with two distinct vertices joined by an edge when the product of the vertices is the zero ideal. We will generalize this notion for an ideal I of R by replacing nonzero ideals whose product is zero with ideals that are not contained in I and their product lies in I and call it the annihilating-ideal graph of R with respect to I, denoted 𝔸𝔾 I (R). We discuss when 𝔸𝔾 I (R) is bipartite. We also give some results on the subgraphs and the parameters of 𝔸𝔾 I (R)." @default.
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• W2035014728 date "2014-01-16" @default.
• W2035014728 modified "2023-10-14" @default.
• W2035014728 title "The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal" @default.
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• W2035014728 doi "https://doi.org/10.1080/00927872.2012.753606" @default.
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