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Valuations on algebras with involution

✍ Scribed by J.-P. Tignol; A. R. Wadsworth

Publisher
Springer
Year
2010
Tongue
English
Weight
427 KB
Volume
351
Category
Article
ISSN
0025-5831

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πŸ“œ 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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Let D be a division algebra of degree 3 over its center K and let J be an involution of the second kind on D. Let F be the subfield of K of elements invariant under J, char F / 3. We present a simple proof of a theorem of A. Albert on the existence of a maximal subfield of D which is Galois over F w