On subinjectivity domains of RD-injective modules


Durğun Y.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.15, sa.08, ss.1-12, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 08
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s179355712250156x
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: RD-injective module, subinjective domain, rdpi-indigent module, divisible module, torsionfree module
  • Çukurova Üniversitesi Adresli: Evet

Özet

The subjectivity domain of a module allows us to evaluate how close (or far) a module is from being injective. In this paper, we consider three families of rings characterized by their RD-injective left [Formula: see text]-modules via the subinjective domain: those whose noninjective RD-injective left [Formula: see text]-modules are subinjective relatively only to divisible modules, those whose noninjective RD-injective left [Formula: see text]-modules are subinjective relatively only to fp-injective modules and those whose noninjective RD-injective left [Formula: see text]-modules are subinjective relatively only to injective modules.