Cukerman [2], Shanny [5], and Ware [7] have shown that a ring R is Artin semisimple if and
only if R has a nonfinitely generated free module with regular endomorphism ring. This …

LEMMA 3. If every countably generated submodule of an R-module M is finitely generated,
then M is Noetherian. Proof. It is sufficient to show that M has acc on finitely generated …

EUDML | Modules whose countably generated submodules are epimorphic images Skip to
main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access …