ON SUBFLAT DOMAINS OF RD-FLAT MODULES

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Atıf İçin Kopyala

Bozkurt M., Durğun Y.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.72, sa.3, ss.563-569, 2023 (ESCI)

• 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.