On Simple-Injective Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: simple-injective rings self-injective rings quasi-Frobenius rings
• 年，卷（期）: 2002,（3）
• 页码范围: 259-264
• 页数: 6页
• 语种: 英文

摘要

A ring R is called right simple-injective if every R-linear map from a right ideal of R to R with simple image can be extended to R. It is shown that a right simple-injective ring R is quasi-Frobenius if R is right Goldie with essential right socle, or R is left perfect and the right annihilator of k ∈ R is finitely generated whenever kR or Rk is simple. This extends a result of Bjork.