Copure direct injective modules


Maurya S. K. , Toksoy S. E.

Journal Of Algebra And Its Applications, no.-, pp.1-12, 2021 (Journal Indexed in SCI Expanded)

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1142/s0219498822501870
  • Title of Journal : Journal Of Algebra And Its Applications
  • Page Numbers: pp.1-12

Abstract

In this paper, we have introduced copure-direct-injective modules. A right R-module is said to be copure-direct-injective if every copure submodule of isomorphic to a direct summand of is itself a direct summand. We have studied properties of copure- direct-injective modules. We characterized rings over which every (cofinitely generated, free, projective) module is copure-direct-injective. We have examined for which rings or under what conditions copure-direct-injective modules are direct-injective, quasi- injective, copure-injective, injective. Also we have compared copure-direct-injective mod- ules with pure-direct-injective modules.