APPLICATIONS OF KAPLANSKY-COHEN’S THEOREM

  • Tran Van Dong
  • Nguyen Trong Bac
  • Nguyen Van Sanh
Keywords: Duo modules, duo rings, Goldie modules, Goldie rings, Kaplansky-Cohen’s theorem, fully bounded modules, fully bounded rings

Abstract

In this note, we prove that for a finitely generated, quasi-projective duo right R-module M which is a self-generator, if every prime submodule of M is M-cyclic, then every submodule of M is M-cyclic.

Published
2020-02-06