MODULES WHOSE DIRECT SUMMANDS ARE FI-EXTENDING
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.43, sa.7, ss.2227-2231, 2017 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 7
- Basım Tarihi: 2017
- Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.2227-2231
- Anahtar Kelimeler: Extending module, direct summand, left exact preradical
- Anadolu Üniversitesi Adresli: Evet
Özet
A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. It is not known whether a direct summand of an FI-extending module is also FI-extending. In this study, it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?