RD-projective module whose subprojectivity domain is minimal

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Durgun Y.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.51, no.2, pp.373-382, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.15672/hujms.776933
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.373-382
  • Keywords: RD -projective module, subprojectivity domain, rdp-indigent module, torsionfree module, flat module, ALTERNATIVE PERSPECTIVE, TORSION-FREENESS, RINGS, INJECTIVITY
  • Çukurova University Affiliated: Yes

Abstract

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.