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Nil properties for rings which are sums of their additive subgroups

 

作者: A.V. Kelarev,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 13  

页码: 5437-5446

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825139

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Suppose that a ringRis a direct sum of a finite number of its additive subgroups, and the union of these subgroups is closed under multiplication. We show that if all rings among these subgroups are nilpotent (left T-nilpotent, locally nilpotent or Baer radical), then the whole ringRsatisfies the same property.

 

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