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noether_problem

Specification

The **Noether Problem**: let `L` be the field of rational functions in `n` indeterminates over `K`. Is it true that `L/K` has the Noether property? Solution: False.

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Lean 4 Statement
theorem noether_problem : answer(False) ↔ ∀ (K L ι G : Type)
    [Field K] [Field L] [Fintype ι] [Algebra K L] [IsRationalExtension K L ι],
    HasNoetherProperty K L ι
ID: Wikipedia__NoetherProblem__noether_problem
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