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Normed Right Alternative Algebras Over the Reals
Published online by Cambridge University Press: 20 November 2018
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One of the most interesting results on real normed division algebras says that every real normed associative division algebra is finite dimensional [6, Theorem 1.7.6], and hence by a classical theorem of Frobenius either isomorphic to the real field, the complex field, or the algebra of quaternions. Thus the dimension of the algebra can only be either 1, 2 or 4.
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- Copyright © Canadian Mathematical Society 1972
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