RD-projective module whose subprojectivity domain is minimal
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.2, ss.373-382, 2022 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 51 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.15672/hujms.776933
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.373-382
- Anahtar Kelimeler: RD -projective module, subprojectivity domain, rdp-indigent module, torsionfree module, flat module, ALTERNATIVE PERSPECTIVE, TORSION-FREENESS, RINGS, INJECTIVITY
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Çukurova Üniversitesi Adresli: Evet
Özet
A p-indigent module is one that is subprojective only to projective modules. An RD -projective module is subprojective to any torsionfree (and flat) module. An RD-projective module T is called rdp-indigent if it is subprojective only to torsionfree modules. In this work, we consider the structure of SRDP rings whose (simple) RD-projective right R -modules are rdp-indigent or torsionfree. Moreover, new characterizations of P-coherent rings and torsionfree rings are presented by subprojectivity domains.