- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Cilt: 72 Sayı: 3
- On subflat domains of RD-flat modules
On subflat domains of RD-flat modules
Authors : Mücahit Bozkurt, Yilmaz Durğun
Pages : 563-569
Doi:10.31801/cfsuasmas.1229943
View : 43 | Download : 56
Publication Date : 2023-09-30
Article Type : Research
Abstract :The concept of subflat domain is used to measure how close (or far away) a module is to be flat. A right module is flat if its subflat domain is the entire class of left modules. In this note, we focus on of RD-flat modules that have subflat domain which is exactly the collection of all torsion-free modules, shortly tf-test modules. Properties of subflat domains and of tf-test modules are studied. New characterizations of left P-coherent rings and torsion-free rings by subflat domains of cyclically presented left $R$-modules are obtained.Keywords : RD-flat module, subflat domain, torsion-free module