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- W2941291235 abstract "Let [Formula: see text] be a commutative ring with unity [Formula: see text]. The annihilating-ideal graph of [Formula: see text], denoted by [Formula: see text], is defined to be the graph with vertex set [Formula: see text] — the set of non-zero annihilating ideals of [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] adjacent if and only if [Formula: see text]. Some connections between annihilating-ideal graphs and zero divisor graphs are given. We characterize the prime ideals (or equivalently maximal ideals) of [Formula: see text] in terms of their degrees as vertices of [Formula: see text]. We also obtain the metric dimension of annihilating-ideal graphs of commutative rings." @default.
- W2941291235 created "2019-05-03" @default.
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- W2941291235 date "2019-06-11" @default.
- W2941291235 modified "2023-09-24" @default.
- W2941291235 title "Annihilating-ideal graphs of commutative rings" @default.
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- W2941291235 doi "https://doi.org/10.1142/s1793557120501211" @default.
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