On subflat domains of RD-flat modules

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:72 Issue: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 : 77 | Download : 56

Publication Date : 2023-09-30

Article Type : Research Paper

Abstract :The concept of subflat domain is used to measure how close insert ignore into journalissuearticles values(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

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