Rings whose proper (principal) right ideals are strongly compressible
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.16, sa.12, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 12
- Basım Tarihi: 2017
- Doi Numarası: 10.1142/s0219498817502255
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Gazi Üniversitesi Adresli: Hayır
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.