Weakly-tau-Flat Modules

Durğun Y.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.47, sa.3, ss.755-765, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s41980-020-00411-8
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.755-765
  • Anahtar Kelimeler: (tau-)Closed submodule, (Weakly-)flat module, Extending module
  • Çukurova Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and study a torsion-theoretic generalization of the weakly-flat module using the concept of tau-closed submodule for an idempotent radical tau. We introduce a new class of modules called weakly-tau-flat. We study these modules, generalizing several results both on extending modules and flat modules. We study generalizations and characterizations of I F ring, (finitely) Sigma-CS ring, and C-ring by weakly-tau-flat modules.