Keskin Tütüncü, DeryaToksoy, Sultan EylemTribak, Rachid04.02. Department of Mathematics04. Faculty of Science01. Izmir Institute of Technology2017-05-152017-05-152012Keskin Tütüncü, D. Toksoy, S. E. and Tribak, R. (2012). Noetherian and Artinian lattices. International Journal of Mathematics and Mathematical Sciences, 2012. doi:10.1155/2012/1571690161-1712http://dx.doi.org/10.1155/2012/157169http://hdl.handle.net/11147/5506It 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.eninfo:eu-repo/semantics/openAccessArtinianModular latticeLattice theoryArticle2-s2.0-8486368238210.1155/2012/15716910.1155/2012/157169