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Normed Right Alternative Algebras Over the Reals

Published online by Cambridge University Press:  20 November 2018

José I. Nieto
José I. Nieto*
Affiliation:
Université de Montréal, Montréal, Québec
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 6 , December 1972 , pp. 1183 - 1186
Copyright
Copyright © Canadian Mathematical Society 1972

References

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