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  • Categorial properties of compressed zero-divisor graphs of finite commutative rings
    Đurić, Alen ; Jevđenić, Sara ; Stopar, Nik
    By modifying the existing definition of a compressed zero-divisor graph ▫$\Gamma_E(K)$▫, we define a compressed zero-divisor graph ▫$\Theta(K)$▫ of a finite commutative unital ring ▫$K$▫, where the ... compression is performed by means of the associatedness relation (a refinement of the relation used in the definition of ▫$\Gamma_E(K)$)▫. We prove that this is the best possible compression which induces a functor ▫$\Theta$▫, and that this functor preserves categorial products (in both directions). We use the structure of ▫$\Theta(K)$▫ to characterize important classes of finite commutative unital rings, such as local rings and principal ideal rings.
    Vir: Journal of algebra and its applications. - ISSN 0219-4988 (Vol. 20, no. 5, May 2021, art. 2150069 (16 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 101600259

    Povezava(-e):

    https://www.worldscientific.com/doi/abs/10.1142/S0219498821500699
    DOI

vir: Journal of algebra and its applications. - ISSN 0219-4988 (Vol. 20, no. 5, May 2021, art. 2150069 (16 str.))

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