Talk:Artinian module
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Why does every (nontrivial) descending chain of submodules of 
has the form 
, like in the article? This is clear for the quasicyclic groups 
, for each prime p, because every proper subgroup is finite and cyclic. But this does not hold for . Where's the information from, that is artinian as 
-module? I have a little doubt about that ;-)
I propose therefore to replace by in the article. This gives certainly a counterexample for artinian => noetherian for modules. ---oo- 07:12, 16 September 2005 (UTC)
Since nobody vetoes, I've just corrected it. ;-) ---oo- 16:11, 18 September 2005 (UTC)
