Weakly-tau-Flat Modules
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.47, sa.3, ss.755-765, 2021 (SCI-Expanded, Scopus)
- 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.