Supersimple fields and division rings
classification
🧮 math.RA
keywords
supersimpledivisionfieldsbrauercommutativefieldgenerallygeneric
read the original 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.
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