On coretractable modules
Hokkaido Mathematical Journal, cilt.44, sa.1, ss.91-99, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 1
- Basım Tarihi: 2015
- Doi Numarası: 10.14492/hokmj/1470052355
- Dergi Adı: Hokkaido Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.91-99
- Hacettepe Üniversitesi Adresli: Evet
Özet
Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of mono-coretractable modules.