Supersimple fields and division rings

Details Supersimple fields and division rings Supersimple fields and division rings

1998-09-30

arxiv.org/abs/math/9809189v1

Mathematics

Rings and Algebras

Scientific paper

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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