Mathematical Research Letters

Volume 5, Issue 4, July 1998 pp. 473-483.

Supersimple fields and division rings

Authors: A. Pillay, T. Scanlon and F. O. Wagner
Author institution: UIUC, University of California, Berkeley, and Maths. Institute, Oxford

Summary: It is proved that any supersimple field has trivial Brauer group, and more generally that any supersimple division ring is commutative. As prerequisites we prove several results about generic types in groups and fields whose theory is simple.

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