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Special finite-dimensional monocomposition algebras

✍ Scribed by A. T. Gainov

Publisher
Springer US
Year
1996
Tongue
English
Weight
596 KB
Volume
35
Category
Article
ISSN
0002-5232

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We prove that if A is a non-associative algebra over the field of real numbers, if 5 5 5 5 5 5 5 5 there is a norm ΠΈ on A satisfying xy s x y for all x, y in A, and if every one-generated subalgebra of A is finite-dimensional, then A is finite-dimensional.