ON COFINITELY WEAK delta-SUPPLEMENTED MODULES
MISKOLC MATHEMATICAL NOTES, cilt.18, sa.2, ss.731-738, 2017 (SCI-Expanded, Scopus)
- 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.