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- W2902726078 abstract "Let [Formula: see text] be a commutative ring with identity and [Formula: see text], a fixed integer. Let [Formula: see text] be the set of all [Formula: see text]-maximal elements in [Formula: see text] Associate a [Formula: see text]-maximal hypergraph [Formula: see text] to [Formula: see text] with vertex set [Formula: see text] and for distinct elements [Formula: see text] in [Formula: see text], the set [Formula: see text] is an edge of [Formula: see text] if and only if [Formula: see text] and [Formula: see text] for all [Formula: see text]. In this paper, we determine all isomorphism classes of finite commutative non-local rings with identity whose [Formula: see text]-maximal hypergraph has genus one. Finally, we classify all finite commutative non-local rings [Formula: see text] for which [Formula: see text] is projective." @default.
- W2902726078 created "2018-12-11" @default.
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- W2902726078 date "2019-02-01" @default.
- W2902726078 modified "2023-09-27" @default.
- W2902726078 title "On the genus of the k-maximal hypergraph of commutative rings" @default.
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- W2902726078 doi "https://doi.org/10.1142/s1793830919500101" @default.
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