(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.