ON COFINITELY WEAK delta-SUPPLEMENTED MODULES

Eryılmaz F., Eren Ş.

MISKOLC MATHEMATICAL NOTES, cilt.18, sa.2, ss.731-738, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.18514/mmn.2017.1496
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.731-738
  • Anahtar Kelimeler: cofinite submodule, delta-small module, cofinitely weak delta-supplemented module, SEMIPERFECT, PERFECT, RINGS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Let R be a ring and M be a left R-module. M is called cofinitely weak delta-supplemented ( or briefly delta-CWS-module) if every cofinite submodule of M has a weak delta-supplement in M. In this paper, we give various properties of this kind of modules. It is shown that a module M is delta-CWS- module if and only if every maximal submodule has a weak delta-supplement in M. The class of cofinitely weak delta-supplemented modules are closed under taking homomorphic images, arbitrary sums and short exact sequences. Also we give some conditions equivalent to being a delta-CWS- module for a delta-coatomic module.