A counterexample to Kurosh’s division-ring problem
What the paper claims, in its own words
Constructs a countable characteristic-zero division ring that is algebraic over its center and generated by two elements over that center, but has infinite dimension over it. This answers Kurosh's division-ring problem on local finiteness negatively.
The plain-language explainer for this entry is still coming.
The original paper
- A Counterexample to Kurosh’s Division-Ring Problem (PDF, opens in a new tab) September 23, 2026