Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 201-01. A Counterexample to Kurosh’s Division-Ring Problem
Manuscript map · lines 5995–6004
OpenAI@2026-10-07#rem:oai-p-201-01
Authors: OpenAI. Family 201.
Title: A Counterexample to Kurosh’s Division-Ring Problem.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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