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Title: Noetherian and Artinian lattices
Authors: Keskin Tütüncü, Derya
Toksoy, Sultan Eylem
Tribak, Rachid
Keywords: Artinian
Modular lattice
Lattice theory
Issue Date: 2012
Publisher: Hindawi Publishing Corporation
Source: Keskin Tütüncü, D. Toksoy, S. E. and Tribak, R. (2012). Noetherian and Artinian lattices. International Journal of Mathematics and Mathematical Sciences, 2012. doi:10.1155/2012/157169
Abstract: 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.
ISSN: 0161-1712
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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