A countable characteristic-zero division ring is algebraic over its center, generated by two elements as an algebra over that center, and infinite-dimensional over the center.
A countable characteristic-zero division ring is algebraic over its center, generated by two elements as an algebra over that center, and infinite-dimensional over the center.
A countable characteristic-zero division ring is algebraic over its center, generated by two elements as an algebra over that center, and infinite-dimensional over the center.
If correct, gives a negative answer to the Kurosh problem for division rings.
Must a finitely generated division ring algebraic over its center be finite-dimensional?
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OpenAI reports a counterexample to Kurosh’s division-ring problem
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