Rings whose proper (principal) right ideals are strongly compressible


Kosan M. T.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.16, sa.12, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Konu: 12
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s0219498817502255
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Özet

It is known that a ring R is semiprime right Goldie if and only if R-R is a strongly compressible module if and only if every right ideal of R is strongly compressible, and that a ring R is semiprime Goldie ring if and only if every right ideal of R is weakly injective if and only if every essential right ideal of R is weakly injective. In this paper, we characterize the rings whose proper (principal) right ideals are strongly compressible, and the rings whose proper (essential) right ideals are weakly injective.