Share
Explore BrainMass

Ring Theory : Prove that an R-module M is Noetherian if and only if every submodule of M is finitely generated.

Prove that an R-module M is Noetherian if and only if every submodule of M is finitely generated.

Solution Summary

It is proven that an R-module M is Noetherian if and only if every submodule of M is finitely generated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

$2.19