Mathematics / Matematik

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  • Article
    Noetherian and Artinian Lattices
    (Hindawi Publishing Corporation, 2012) Keskin Tütüncü, Derya; Toksoy, Sultan Eylem; Tribak, Rachid
    It is proved that if L is a complete modular lattice which is compactly generated, then Rad(L)/0 is Artinian if, and only if for every small element a of L, the sublattice a/0 is Artinian if, and only if L satisfies DCC on small elements.