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- W2883804521 abstract "Let [Formula: see text] be a commutative ring with identity and Nil[Formula: see text] be the ideal consisting of all nilpotent elements of [Formula: see text]. Let [Formula: see text] [Formula: see text] [Formula: see text]. The nil-graph of ideals of [Formula: see text] is defined as the graph [Formula: see text] whose vertex set is the set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text]. In this paper, we discuss some properties of nil-graph of ideals concerning connectedness, split and claw free. Also we characterize all commutative Artinian rings [Formula: see text] for which the nil-graph [Formula: see text] has genus 2." @default.
- W2883804521 created "2018-08-03" @default.
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- W2883804521 date "2018-10-01" @default.
- W2883804521 modified "2023-09-23" @default.
- W2883804521 title "On the nil-graph of ideals of commutative Artinian rings" @default.
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- W2883804521 doi "https://doi.org/10.1142/s1793830918500623" @default.
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