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Alternative rings of small order

 

作者: Edgar G. Goodaire,   Yongxin Zhou,  

 

期刊: Communications in Algebra  (Taylor Available online 2000)
卷期: Volume 28, issue 7  

页码: 3335-3349

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827029

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We construct all the alternative (but not associative) algebras of dimension at most 5 over a perfect field. For any primep, we show that there are fifteen alternative rings of prime power orderpn,n≤5, which are not associative. None of these rings is nil. Just one has a unity.

 

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