Supersimple fields and division rings

Abstract

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.

References in corpus (1)

• Groups in simple theories

Cited by in corpus (2)

• On n-dependent groups and fields II
• On compactifications and product-free sets