Preprint in the OpenAI Math release
A Counterexample to Kurosh’s Division-Ring Problem
OpenAI
Abstract
We construct a countable division ring of characteristic zero that is algebraic over its center, generated by two elements as an algebra over that center, and infinite-dimensional over it. This gives a negative answer to the Kurosh problem for division rings.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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