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16 February 2025

» arxiv » 1109.0239

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Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2
Alassane Diouf ; Maribel Ramirez ; Abdellatif Rochdi ;
Date:	1 Sep 2011
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.
Source:	arXiv, 1109.0239
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