Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2
Rings and Algebras
2011-09-02 v1
Abstract
We show that every absolute-valued algebra with left-unit satisfying (x2; x2; x2) = 0 is finite-dimensional of degree at most 4: Next, we determine such an algebras. In addition to the already known algebras R; C; \astC; H; \astH; \astH(i; 1); O; \astO; \astO(i; 1) the list is completed by two new algebras not yet specified in the literature.
Cite
@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}
}
Comments
25 pages