2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71905Let $R$ be a commutative Noetherian ring. It is shown that $R$ is Artinian if and only if every $R$-module is good, if and only if every $R$-module is representable. As a result, it follows that every nonzero submodule of any representable $R$-module is representable if and only if $R$ is Artinian. This provides an answer to a question which is investigated in [{\bf 1}].5 pages. Accepted for publications in Vietnam Journal of MathematicsCommutative Algebra13E10, 13C05text