Division algebra coproducts of index 𝑛

Van den Bergh, Michel; Schofield, Aidan

doi:10.1090/S0002-9947-1994-1033236-1

Division algebra coproducts of index $n$
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by Michel Van den Bergh and Aidan Schofield PDF

Trans. Amer. Math. Soc. 341 (1994), 505-517 Request permission

Abstract:

Given a family of separable finite dimensional extensions $\{ {L_i}\}$ of a field $k$, we construct a division algebra ${n^2}$ over its center which is freely generated over $k$ by the fields $\{ {L_i}\}$.

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