Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2

Autor:	Diouf, Alassane, Ramirez, Maribel, Rochdi, Abdellatif
Rok vydání:	2011
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	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. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1109.0239 Zobrazit plný text záznamu View this record from Arxiv