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Rings all of whose one-sided ideals are generated by idempotents

 

作者: D.V. Tjukavkin,  

 

期刊: Communications in Algebra  (Taylor Available online 1989)
卷期: Volume 17, issue 5  

页码: 1193-1198

 

ISSN:0092-7872

 

年代: 1989

 

DOI:10.1080/00927878908823783

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We give an example of the nonregular ring every one-sided ideal of which is generated by idempotents, It is also proved that if each right ideal of a ring R is generated by idempotents and each primitive factor ring of a ring R has a bounded index of nilpotency then R is regular.

 

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