RD-projective module whose subprojectivity domain is minimal

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Durgun Y.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.2, ss.373-382, 2022 (SCI-Expanded) identifier identifier identifier

  • 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
  • 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.