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ON SOME PROPERTIES OF IF RINGS

 

作者: JoséL. Gómez Pardo,   NievesRodríguez González,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1983）
卷期: Volume 5, issue 4  

页码: 395-405

 

ISSN:1607-3606

 

年代: 1983

 

DOI:10.1080/16073606.1983.9632281

 

出版商: Taylor & Francis Group

 

关键词: 16A30;16A36

 

数据来源: Taylor

 

摘要:

We show that left IF rings (rings such that every injective left module is flat) have certain regular-like properties. For instance, we prove that every left IF reduced ring is strongly regular. We also give characterizations of (left and right) IF rings. In particular, we show that a ring R is IF if and only if every finitely generated left (and right) ideal is the annihilator of a finite subset of R.

 

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