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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