FinitePresentation — Mathlib

English

If f: A →ₐ[R] B is surjective and ker(f) is FG, then the kernel FG property holds for the surjection in the finite presentation setting.

Русский

Если отображение сюръективно и ядро FG, то FG переносится в рамках конечной презентации.

LaTeX

$$Theorem stating FG kernel transfer under surjective algebra hom and finite presentations$$

Lean4

/-- A ring morphism `A →+* B` is of `RingHom.FinitePresentation` if `B` is finitely presented as
`A`-algebra. -/
@[algebraize]
def FinitePresentation (f : A →+* B) : Prop :=
  @Algebra.FinitePresentation A B _ _ f.toAlgebra

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