A relative extending module and torsion precovers

Kemal Berktaş M., Doğruöz S.

Bulletin of the Iranian Mathematical Society, cilt.41, sa.5, ss.1249-1257, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 5
  • Basım Tarihi: 2015
  • Dergi Adı: Bulletin of the Iranian Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1249-1257
  • Anahtar Kelimeler: (pre)covers, Extending module, T-cocompact module, T-pure submodule, Torsion theory
  • Uşak Üniversitesi Adresli: Evet

Özet

We first characterize τ-complemented modules with relative (pre)covers. We also introduce an extending module relative to τ-pure submodules on a hereditary torsion theory τ and give its relationship with τ-complemented modules.