Supersimple fields and division rings
Rings and Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9809189,
title = {Supersimple fields and division rings},
author = {Anand Pillay and Thomas Scanlon and Frank Wagner},
journal= {arXiv preprint arXiv:math/9809189},
year = {2007}
}