Noetherian and Artinian Lattices

Derya Keskin Tütüncü, Sultan Eylem Toksoy and Rachid Tribak

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-8

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:157169

DOI: 10.1155/2012/157169

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