@article{article_1229943, title={On subflat domains of RD-flat modules}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={72}, pages={563–569}, year={2023}, DOI={10.31801/cfsuasmas.1229943}, author={Bozkurt, Mücahit and Durğun, Yilmaz}, keywords={RD-flat module, subflat domain, torsion-free module}, 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.}, number={3}, publisher={Ankara University}, organization={The Scientific and Technological Research Council of Turkey (TUBITAK)}