%0 Journal Article
%T Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2
%A Alassane Diouf
%A Maribel Ramirez
%A Abdellatif Rochdi
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1109.0239v1