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Exchange rings, units and idempotents

 

作者: Victor P. Camillo,   Hua-Ping Yu,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 12  

页码: 4737-4749

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825098

 

出版商: Marcel Dekker, Inc.

 

关键词: Exchange Ring;Clean Ring;Semiperfect Ring.;16A30;16A

 

数据来源: Taylor

 

摘要:

An associative ring R with identity is semiperfect if and only if every element of R is a sum of a unit and an idempotent, and R contains no infinite set of orthogonal idempotents. A ring which contains no infinite set of orthogonal idempotents is an exchange ring if and only if every element is a sum of a unit and an idempo-tent

 

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