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Prime rings whose units satisfy a group identity

 

作者: S. Mauceri,   P. Misso,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 11  

页码: 5363-5367

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827161

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

LetRbe a prime algebra over an infinite field and suppose thatRis generated by its group of unitsU(R). We prove that ifU(R) satisfies a group identity thenRmust be an integral domain.

 

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