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Supersimple fields and division rings

环与代数 2007-05-23 v1

摘要

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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引用

@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}
}