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arXiv · 1109.0239

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

Alassane Diouf·Maribel Ramirez·Abdellatif Rochdi
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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.

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Alassane Diouf, Maribel Ramirez, Abdellatif Rochdi. 2011-09-01. Classification of the Absolute-Valued Algebras with Left-Unit Satisfying x2(x2)2 = (x2)2x2. https://arxiv.org/abs/1109.0239

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