满足$x^2(x^2)^2 = (x^2)^2x^2$的带左单位元的绝对值代数的分类
环与代数
2011-09-02 v1
摘要
我们证明每一个满足的带左单位元的绝对值代数都是有限维的，且次数至多为4。接着，我们确定了此类代数。除了已知的代数R; C; \astC; H; \astH; \astH(i; 1); O; \astO; \astO(i; 1)之外，该列表还补充了文献中尚未指明的两个新代数。
引用
@article{arxiv.1109.0239,
title = {Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2},
author = {Alassane Diouf and Maribel Ramirez and Abdellatif Rochdi},
journal= {arXiv preprint arXiv:1109.0239},
year = {2011}
}
备注
25 pages