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Algebras with skew-symmetric identity of degree 3

✍ Scribed by A. S. Dzhumadil’daev


Publisher
Springer US
Year
2009
Tongue
English
Weight
264 KB
Volume
161
Category
Article
ISSN
1573-8795

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On Division Algebras of Degree 3 with In
✍ Darrell E Haile; Max-Albert Knus 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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