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    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2019
    In:  Discrete Mathematics, Algorithms and Applications Vol. 11, No. 01 ( 2019-02), p. 1950010-
    In: Discrete Mathematics, Algorithms and Applications, World Scientific Pub Co Pte Ltd, Vol. 11, No. 01 ( 2019-02), p. 1950010-
    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.
    Type of Medium: Online Resource
    ISSN: 1793-8309 , 1793-8317
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2019
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