Mathematics / Matematik

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Language: search.filters.language.enSubject: search.filters.subject.Lattice theory

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  • Article
    Noetherian and Artinian Lattices
    (Hindawi Publishing Corporation, 2012) Keskin Tütüncü, Derya; Toksoy, Sultan Eylem; Tütüncü, Derya Keskin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.