MODULES WHOSE DIRECT SUMMANDS ARE FI-EXTENDING


Tasdemir O., Karabacak F.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.43, no.7, pp.2227-2231, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 7
  • Publication Date: 2017
  • Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.2227-2231
  • Keywords: Extending module, direct summand, left exact preradical
  • Anadolu University Affiliated: Yes

Abstract

A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. It is not known whether a direct summand of an FI-extending module is also FI-extending. In this study, it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?