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On a theorem of camillo

 

作者: W. K. Nicholson,   M. F. Yousiff,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 14  

页码: 5309-5314

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825532

 

出版商: Marcel Dekker, Inc.

 

关键词: Principally injective ring;finite dimensionality;Mathematical Reviews Classification;16D90;16P60

 

数据来源: Taylor

 

摘要:

Let R denote a right principally injective ring. In this note we show that if R is right duo then R is right finite dimensional if and only if R has a finite number of maximal left ideals. This extends and answers an open question of Camillo. If, instead, every simple right module can be embedded in R, we show that R is left finite dimensional if it has a finite number of maximal right ideals.

 

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