Geodesic
Levels of division algebras
Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 365-370

Voir la notice de l'article provenant de la source Cambridge University Press

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]). 
Leep, David B. Levels of division algebras. Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 365-370. doi: 10.1017/S0017089500009447
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