Weakly-tau-Flat Modules


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Durğun Y.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2020 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s41980-020-00411-8
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

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.