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Absolute valued algebras with an involution

✍ Scribed by Mohamed Lamei El-Mallah

Book ID: 112496217
Publisher: Springer
Year: 1988
Tongue: English
Weight: 539 KB
Volume: 51
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01194152

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📜 SIMILAR VOLUMES

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Let A be an absolute valued algebra with involution, in the sense of Urbanik [K. Urbanik, Absolute valued algebras with an involution, Fund. Math. 49 (1961) 247-258]. We prove that A is finite-dimensional if and only if the algebra obtained by symmetrizing the product of A is simple, if and only if

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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 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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