MODULES WHOSE EC-CLOSED SUBMODULES ARE DIRECT SUMMAND

Yucel C. C., TERCAN A.

TAIWANESE JOURNAL OF MATHEMATICS, vol.13, no.4, pp.1247-1256, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 4
  • Publication Date: 2009
  • Doi Number: 10.11650/twjm/1500405505
  • Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1247-1256
  • Hacettepe University Affiliated: Yes

Abstract

A module M is called ECS if every ec-closed submodule of M is a direct summand. It was shown that the ECS property lies strictly between CS and P-extending properties. We studied modules M such that every homomorphism from an ec-closed submodule of M to M can be lifted to M. Although such modules share some of the properties of ECS-modules, it is shown that they form a substantially bigger class of modules.