Alternative rings of small order

被引：1

作者：

Goodaire, EG ^{[1
]}

Zhou, YX ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1080/00927870008827029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：3335 / 3349

页数：15