counter example to Nakayama’s lemma for non-finitely generated modules
In one sense, the reason why is “bad” is that is has no proper sub module which is also maximal. Thus has no non-zero simple quotient. This explains why the following Proof of Nakayama’s Lemma (http://planetmath.org/ProofOfNakayamasLemma2) does not work for non-finitely generated modules.
|Title||counter example to Nakayama’s lemma for non-finitely generated modules|
|Date of creation||2013-03-22 18:03:55|
|Last modified on||2013-03-22 18:03:55|
|Last modified by||sjm (20613)|