I have completed studying Noetherian & Artinian Modules. But I still lack knowledge for some questions which asks for counterexamples.
Like
-Is it true that every subring of a Noetherian Ring finitely generated?
-Is a finitely generated module always Noetherian.
And many such examples/counterexamples.
Can you suggest me some references so that I can read and learn more counterexamples related to Noetherian & Artinian Modules?