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Absolute-Valued Algebraic Algebras Are Finite-Dimensional

✍ Scribed by Kaidi El-Amin; Maria Isabel Ramı́rez; Angel Rodrı́guez Palacios

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
235 KB
Volume
195
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 и 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.

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