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amitsur_conjecture

Specification

The **Amitsur Conjecture**: If `J` is a nil ideal in `R`, then `J[x]` is a nil ideal of the polynomial ring `R[x]`. This is known to be false, see Agata Smoktunowicz, _Polynomial rings over nil rings need not be nil_.

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Lean 4 Statement 
theorem amitsur_conjecture (J : TwoSidedIdeal R) (hJ : IsNil J) :
    IsNil (TwoSidedIdeal.map (Polynomial.C) J)
ID: Wikipedia__Koethe__amitsur_conjecture
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