Weakly-tau-Flat Modules

Durğun Y.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.47, no.3, pp.755-765, 2021 (SCI-Expanded, Scopus) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1007/s41980-020-00411-8
  • Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.755-765
  • Keywords: (tau-)Closed submodule, (Weakly-)flat module, Extending module
  • Çukurova University Affiliated: Yes

Abstract

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.