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Transcendence degree of division algebras

โœ Scribed by Jason P. Bell


Book ID
118819142
Publisher
The Hebrew University Magnes Press
Year
2012
Tongue
English
Weight
187 KB
Volume
190
Category
Article
ISSN
0021-2172

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On Division Algebras of Degree 3 with In
โœ Darrell E Haile; Max-Albert Knus ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

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