On absolute valued algebras with involut
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MohamedLamei El-Mallah; Hader Elgendy; Abdellatif Rochdi; ÁngelRodríguez Palacio
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Article
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2006
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Elsevier Science
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English
⚖ 133 KB
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