MODULES WHOSE EC-CLOSED SUBMODULES ARE DIRECT SUMMAND


Yucel C. C. , TERCAN A.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.13, ss.1247-1256, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.11650/twjm/1500405505
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1247-1256

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.