Rings Whose Pure-Projective Modules Have Maximal or Minimal Projectivity Domain

Türkoğlu Z.

Journal of New Theory, cilt.47, ss.1-10, 2024 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47
  • Basım Tarihi: 2024
  • Doi Numarası: 10.53570/jnt.1451662
  • Dergi Adı: Journal of New Theory
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1-10
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this study, we investigate the projectivity domain of pure-projective modules. A pure-projective module is called special-pure-projective (s-pure-projective) module if its projectivity domain contains only regular modules. First, we describe all rings whose pure-projective modules are s-pure-projective, and we show that every ring with an s-pureprojective module. Afterward, we research rings whose pure-projective modules are projective or s-pure-projective. Such rings are said to have ∗-property. We determine the right Noetherian rings have ∗-property.