MODULES WHOSE EC-CLOSED SUBMODULES ARE DIRECT SUMMAND

Yucel C. C., TERCAN A.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.13, sa.4, ss.1247-1256, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.11650/twjm/1500405505
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1247-1256
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.