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https://hdl.handle.net/11147/5506| Title: | Noetherian and Artinian lattices | Authors: | Keskin Tütüncü, Derya Toksoy, Sultan Eylem Tribak, Rachid |
Keywords: | Artinian Modular lattice Lattice theory |
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. | URI: | http://dx.doi.org/10.1155/2012/157169 http://hdl.handle.net/11147/5506 |
ISSN: | 0161-1712 |
| Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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