ON SUBFLAT DOMAINS OF RD-FLAT MODULES
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.72, sa.3, ss.563-569, 2023 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 3
- Basım Tarihi: 2023
- Doi Numarası: 10.31801/cfsuasmas.1229943
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.563-569
- Çukurova Üniversitesi Adresli: Evet
Özet
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.