Modules having a weak rad-supplement in every cofinite extension
JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, 2022 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2022
- Doi Numarası: 10.2339/politeknik.991518
- Dergi Adı: JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Anahtar Kelimeler: Weak Rad-supplement, semilocal ring, cofinite extension
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this study, we introduce the modules with the properties (CWRE) and (CWREE) as a generalization of the modules with the properties (CWE) and (CWEE). Let R be a ring and M be a left R-module. If M has the property (CWRE), then every direct summand of M has the property (CWRE). A ring R is semilocal if and only if every left R-module has the property (CWRE). We also study the modules that have the properties (WRE*) and (WREE*). A module has the property (WREE*) if and only if every submodule of it has the property (WRE*).