ON THE PURE-INJECTIVITY PROFILE OF A RING

Harmanci A., Lopez-Permouth S. R., ÜNGÖR B.

COMMUNICATIONS IN ALGEBRA, cilt.43, sa.11, ss.4984-5002, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 11
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/00927872.2014.955993
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4984-5002
  • Anahtar Kelimeler: Poor module, Pure-injectively poor module, Pure-injectivity domain, Pure-semisimple ring, Pure-split module, COTORSION MODULES
  • Ankara Üniversitesi Adresli: Evet

Özet

An analog of the injective profile of a ring, with relative injectivity replaced by relative pure-injectivity, is investigated. Emphasis is placed on comparing and contrasting the properties of both profiles. In particular, the analog in this context of the notion of poor modules is considered and properties of pure-injectively poor modules are determined. While we do not know of any ring that does not have pure-injectively poor modules, their existence has not been determined in general. Rings having pure-injectively poor modules of various types are characterized.