Home > Library > MSRI Preprints > 1998 > Preprint 1998-037 > Abstract

Abstract for MSRI Preprint 1998-037

Supersimple fields and division rings

Anand Pillay, Thomas Scanlon, and Frank Wagner

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.