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Levels of division algebras

Published online by Cambridge University Press:  18 May 2009

David B. Leep
David B. Leep
Affiliation:
Department of MathematicsUniversity of KentuckyLexington KY 40506USA
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In [7] the level, sublevel, and product level of finite dimensional central division algebras D over a field F were calculated when F is a local or global field. In Theorem 1.4 of this paper we calculate the same quantities if all finite extensions K of F satisfy ū(K) ≤2, where ū is the Hasse number of a field as defined in [2]. This occurs, for example, if F is an algebraic extension of the function field R(x) where R is a real closed field or hereditarily Euclidean field (see [4]).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 3 , September 1990 , pp. 365 - 370
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

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