I don't understand clearly what is meant by Noetherian and Artinian modules. I tried explaining it to myself using the definitions but it is still not clear. Can someone please help explain it to me using examples etc. Thank you!
Noetherian and Artinian modules
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$\begingroup$
commutative-algebra
modules
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0Did you read [Wikipedia](http://en.wikipedia.org/wiki/Noetherian_module) for instance? – 2012-05-08
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0Perhaps you could tell us which definition you've read? Some definite a Noetherian module as a module in which every submodule is finitely generated. – 2012-06-11