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- W4311809405 abstract "Let [Formula: see text] be a finite commutative ring with identity, [Formula: see text] be an ideal of [Formula: see text] and [Formula: see text] denotes the Jacobson radical of [Formula: see text]. The ideal-based zero-divisor graph [Formula: see text] of [Formula: see text] is a graph with vertex set [Formula: see text] for some [Formula: see text] in which distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text]. In this paper, we determine the diameter, girth of [Formula: see text]. Specifically, we classify all finite commutative nonlocal rings for which [Formula: see text] is perfect. Furthermore, we discuss about the planarity, outerplanarity, genus and crosscap of [Formula: see text] and characterize all of them." @default.
- W4311809405 created "2022-12-28" @default.
- W4311809405 creator A5050635206 @default.
- W4311809405 creator A5072803129 @default.
- W4311809405 date "2023-01-21" @default.
- W4311809405 modified "2023-10-16" @default.
- W4311809405 title "On the ideal-based zero-divisor graph of commutative rings" @default.
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- W4311809405 doi "https://doi.org/10.1142/s1793830922501907" @default.
- W4311809405 hasPublicationYear "2023" @default.
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