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Finite-dimensional absolute-valued algebras

✍ Scribed by A. Calderón; A. Kaidi; C. Martín; A. Morales; M. Ramírez; A. Rochdi

Book ID
107529430
Publisher
The Hebrew University Magnes Press
Year
2011
Tongue
English
Weight
478 KB
Volume
184
Category
Article
ISSN
0021-2172

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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