MODULES WHOSE DIRECT SUMMANDS ARE FI-EXTENDING

Tasdemir O., Karabacak F.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.43, sa.7, ss.2227-2231, 2017 (SCI-Expanded) identifier

  • 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?