Rings whose proper (principal) right ideals are strongly compressible

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Atıf İçin Kopyala

Kosan M. T.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.16, sa.12, 2017 (SCI-Expanded)

• 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.