toFinsuppIsoAlg — Mathlib

English

There is an R-algebra isomorphism between the polynomial ring R[X] and the monoid algebra R[ℕ].

Русский

Существует R-алгебраическое изоморфизм между кольцом многочленов R[X] и монондо-алгеброй R[ℕ].

LaTeX

$$$R[X] \cong_R R[\mathbb{N}]$$$

Lean4

/-- Algebra isomorphism between `R[X]` and `R[ℕ]`. This is just an
implementation detail, but it can be useful to transfer results from `Finsupp` to polynomials. -/
@[simps!]
def toFinsuppIsoAlg : R[X] ≃ₐ[R] R[ℕ] :=
  { toFinsuppIso R with commutes' := fun r => by dsimp }

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