On coretractable modules

TUTUNCU D. K., KALEBOĞAZ B.

Hokkaido Mathematical Journal, cilt.44, sa.1, ss.91-99, 2015 (SCI-Expanded) identifier identifier identifier

  • 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.