ON COFINITELY WEAK RAD-SUPPLEMENTED MODULES
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.1, ss.92-97, 2017 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 66 Sayı: 1
- Basım Tarihi: 2017
- Doi Numarası: 10.1501/commual_0000000778
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.92-97
- Anahtar Kelimeler: Cofinite Submodule, Cofinitely Weak Rad-Supplemented Module, Totally Cofinitely Weak Rad-Supplemented Module, Noetherian V-ring, RINGS, SEMIPERFECT, EXTENSIONS
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this paper, necessary and sufficient conditions for a quotient module are found to be a cofinitely weak Rad-supplemented module under which circumstances. Nevertheless, some relations are investigated between cofinitely Rad-supplemented modules and cofinitely weak Rad-supplemented modules. Lastly, we show that an arbitrary ring R is a left Noetherian V - ring if and only if every weak Rad-supplemented R - module is injective.