Alternative elements in the Cayley–Dickson algebras
نویسنده
چکیده
We describe the alternative elements in An = R n the CayleyDickson algebras for n ≥ 4. Also we “measure” the failure of An with n ≥ 4 of being a normed algebra in terms of the alternative elements.
منابع مشابه
Similarity and Consimilarity of Elements in Real Cayley-dickson Algebras
Similarity and consimilarity of elements in the real quaternion, octonion, and sedenion algebras, as well as in the general real Cayley-Dickson algebras are considered by solving the two fundamental equations ax = xb and ax = xb in these algebras. Some consequences are also presented. AMS mathematics subject classifications: 17A05, 17A35.
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