首页 | 本学科首页   官方微博 | 高级检索  
     


On a theorem of camillo
Authors:W. K. Nicholson  M. F. Yousiff
Affiliation:1. University of Calgary;2. Ohio State University
Abstract: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.
Keywords:Principally injective ring  finite dimensionality  Mathematical Reviews Classification  16D90  16P60
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号